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Finding the Fourth Proportional to 74,643.29, 111,854.21 and 54,824.96

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Solution

The fourth proportional to 74,643.29, 111,854.21 and 54,824.96 is: 82,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,643.29 : 111,854.21 = 54,824.96 : x
  2. Step 2: Convert to fraction form
    74,643.29/111,854.21 = 54,824.96/x
  3. Step 3: Cross multiply
    74,643.29x = 111,854.21 × 54,824.96
  4. Step 4: Simplify right side
    74,643.29x = 6,132,402,314.96
  5. Step 5: Solve for x
    x = 6,132,402,314.96/74,643.29
  6. Step 6: Final answer
    x = 82,156.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.