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Finding the Fourth Proportional to 59,850, 82,593 and 34,701.12

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Solution

The fourth proportional to 59,850, 82,593 and 34,701.12 is: 47,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,850 : 82,593 = 34,701.12 : x
  2. Step 2: Convert to fraction form
    59,850/82,593 = 34,701.12/x
  3. Step 3: Cross multiply
    59,850x = 82,593 × 34,701.12
  4. Step 4: Simplify right side
    59,850x = 2,866,069,604.16
  5. Step 5: Solve for x
    x = 2,866,069,604.16/59,850
  6. Step 6: Final answer
    x = 47,887.55

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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.