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Finding the Fourth Proportional to 60,605, 83,646.50 and 34,109

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Solution

The fourth proportional to 60,605, 83,646.50 and 34,109 is: 47,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,605 : 83,646.50 = 34,109 : x
  2. Step 2: Convert to fraction form
    60,605/83,646.50 = 34,109/x
  3. Step 3: Cross multiply
    60,605x = 83,646.50 × 34,109
  4. Step 4: Simplify right side
    60,605x = 2,853,098,468.50
  5. Step 5: Solve for x
    x = 2,853,098,468.50/60,605
  6. Step 6: Final answer
    x = 47,076.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.