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Finding the Fourth Proportional to 53,691.77, 74,131.70 and 33,557.70

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Solution

The fourth proportional to 53,691.77, 74,131.70 and 33,557.70 is: 46,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691.77 : 74,131.70 = 33,557.70 : x
  2. Step 2: Convert to fraction form
    53,691.77/74,131.70 = 33,557.70/x
  3. Step 3: Cross multiply
    53,691.77x = 74,131.70 × 33,557.70
  4. Step 4: Simplify right side
    53,691.77x = 2,487,689,181.30
  5. Step 5: Solve for x
    x = 2,487,689,181.30/53,691.77
  6. Step 6: Final answer
    x = 46,332.79

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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.