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Finding the Fourth Proportional to 82,421.30, 123,599.59 and 29,101.90

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Solution

The fourth proportional to 82,421.30, 123,599.59 and 29,101.90 is: 43,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,421.30 : 123,599.59 = 29,101.90 : x
  2. Step 2: Convert to fraction form
    82,421.30/123,599.59 = 29,101.90/x
  3. Step 3: Cross multiply
    82,421.30x = 123,599.59 × 29,101.90
  4. Step 4: Simplify right side
    82,421.30x = 3,596,982,144.71
  5. Step 5: Solve for x
    x = 3,596,982,144.71/82,421.30
  6. Step 6: Final answer
    x = 43,641.42

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