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Finding the Fourth Proportional to 76,551.38, 105,635.75 and 42,557.20

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Solution

The fourth proportional to 76,551.38, 105,635.75 and 42,557.20 is: 58,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,551.38 : 105,635.75 = 42,557.20 : x
  2. Step 2: Convert to fraction form
    76,551.38/105,635.75 = 42,557.20/x
  3. Step 3: Cross multiply
    76,551.38x = 105,635.75 × 42,557.20
  4. Step 4: Simplify right side
    76,551.38x = 4,495,561,263.02
  5. Step 5: Solve for x
    x = 4,495,561,263.02/76,551.38
  6. Step 6: Final answer
    x = 58,726.07

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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.