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Finding the Fourth Proportional to 47,267.60, 70,896.60 and 16,102.40

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Solution

The fourth proportional to 47,267.60, 70,896.60 and 16,102.40 is: 24,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,267.60 : 70,896.60 = 16,102.40 : x
  2. Step 2: Convert to fraction form
    47,267.60/70,896.60 = 16,102.40/x
  3. Step 3: Cross multiply
    47,267.60x = 70,896.60 × 16,102.40
  4. Step 4: Simplify right side
    47,267.60x = 1,141,605,411.84
  5. Step 5: Solve for x
    x = 1,141,605,411.84/47,267.60
  6. Step 6: Final answer
    x = 24,151.96

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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.