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Finding the Fourth Proportional to 47,088, 70,633.44 and 14,256

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Solution

The fourth proportional to 47,088, 70,633.44 and 14,256 is: 21,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,088 : 70,633.44 = 14,256 : x
  2. Step 2: Convert to fraction form
    47,088/70,633.44 = 14,256/x
  3. Step 3: Cross multiply
    47,088x = 70,633.44 × 14,256
  4. Step 4: Simplify right side
    47,088x = 1,006,950,320.64
  5. Step 5: Solve for x
    x = 1,006,950,320.64/47,088
  6. Step 6: Final answer
    x = 21,384.44

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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.