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Finding the Fourth Proportional to 31,961,998.80, 47,887,885.80 and 14,887,652.40

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Solution

The fourth proportional to 31,961,998.80, 47,887,885.80 and 14,887,652.40 is: 22,305,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,961,998.80 : 47,887,885.80 = 14,887,652.40 : x
  2. Step 2: Convert to fraction form
    31,961,998.80/47,887,885.80 = 14,887,652.40/x
  3. Step 3: Cross multiply
    31,961,998.80x = 47,887,885.80 × 14,887,652.40
  4. Step 4: Simplify right side
    31,961,998.80x = 712,938,197,961,295.88
  5. Step 5: Solve for x
    x = 712,938,197,961,295.88/31,961,998.80
  6. Step 6: Final answer
    x = 22,305,807.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.