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Finding the Fourth Proportional to 53,773.78, 74,209.53 and 29,901.46

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Solution

The fourth proportional to 53,773.78, 74,209.53 and 29,901.46 is: 41,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,773.78 : 74,209.53 = 29,901.46 : x
  2. Step 2: Convert to fraction form
    53,773.78/74,209.53 = 29,901.46/x
  3. Step 3: Cross multiply
    53,773.78x = 74,209.53 × 29,901.46
  4. Step 4: Simplify right side
    53,773.78x = 2,218,973,292.91
  5. Step 5: Solve for x
    x = 2,218,973,292.91/53,773.78
  6. Step 6: Final answer
    x = 41,264.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.