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Finding the Fourth Proportional to 53,813.92, 74,262.54 and 29,939.98

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Solution

The fourth proportional to 53,813.92, 74,262.54 and 29,939.98 is: 41,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813.92 : 74,262.54 = 29,939.98 : x
  2. Step 2: Convert to fraction form
    53,813.92/74,262.54 = 29,939.98/x
  3. Step 3: Cross multiply
    53,813.92x = 74,262.54 × 29,939.98
  4. Step 4: Simplify right side
    53,813.92x = 2,223,418,962.35
  5. Step 5: Solve for x
    x = 2,223,418,962.35/53,813.92
  6. Step 6: Final answer
    x = 41,316.80

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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.