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Finding the Fourth Proportional to 59,776.53, 82,488.38 and 34,281.68

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Solution

The fourth proportional to 59,776.53, 82,488.38 and 34,281.68 is: 47,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,776.53 : 82,488.38 = 34,281.68 : x
  2. Step 2: Convert to fraction form
    59,776.53/82,488.38 = 34,281.68/x
  3. Step 3: Cross multiply
    59,776.53x = 82,488.38 × 34,281.68
  4. Step 4: Simplify right side
    59,776.53x = 2,827,840,127.03
  5. Step 5: Solve for x
    x = 2,827,840,127.03/59,776.53
  6. Step 6: Final answer
    x = 47,306.86

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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.