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Finding the Fourth Proportional to 77,291.52, 106,657.20 and 43,294.08

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Solution

The fourth proportional to 77,291.52, 106,657.20 and 43,294.08 is: 59,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,291.52 : 106,657.20 = 43,294.08 : x
  2. Step 2: Convert to fraction form
    77,291.52/106,657.20 = 43,294.08/x
  3. Step 3: Cross multiply
    77,291.52x = 106,657.20 × 43,294.08
  4. Step 4: Simplify right side
    77,291.52x = 4,617,625,349.38
  5. Step 5: Solve for x
    x = 4,617,625,349.38/77,291.52
  6. Step 6: Final answer
    x = 59,742.98

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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.