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Finding the Fourth Proportional to 105,480.38, 145,562.87 and 57,733.71

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Solution

The fourth proportional to 105,480.38, 145,562.87 and 57,733.71 is: 79,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,480.38 : 145,562.87 = 57,733.71 : x
  2. Step 2: Convert to fraction form
    105,480.38/145,562.87 = 57,733.71/x
  3. Step 3: Cross multiply
    105,480.38x = 145,562.87 × 57,733.71
  4. Step 4: Simplify right side
    105,480.38x = 8,403,884,940.61
  5. Step 5: Solve for x
    x = 8,403,884,940.61/105,480.38
  6. Step 6: Final answer
    x = 79,672.50

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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.