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Finding the Fourth Proportional to 53,159.38, 73,359.96 and 29,285.98

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Solution

The fourth proportional to 53,159.38, 73,359.96 and 29,285.98 is: 40,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,159.38 : 73,359.96 = 29,285.98 : x
  2. Step 2: Convert to fraction form
    53,159.38/73,359.96 = 29,285.98/x
  3. Step 3: Cross multiply
    53,159.38x = 73,359.96 × 29,285.98
  4. Step 4: Simplify right side
    53,159.38x = 2,148,418,321.36
  5. Step 5: Solve for x
    x = 2,148,418,321.36/53,159.38
  6. Step 6: Final answer
    x = 40,414.66

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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.