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Finding the Fourth Proportional to 59,645, 82,311.14 and 32,788.64

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Solution

The fourth proportional to 59,645, 82,311.14 and 32,788.64 is: 45,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,645 : 82,311.14 = 32,788.64 : x
  2. Step 2: Convert to fraction form
    59,645/82,311.14 = 32,788.64/x
  3. Step 3: Cross multiply
    59,645x = 82,311.14 × 32,788.64
  4. Step 4: Simplify right side
    59,645x = 2,698,870,337.45
  5. Step 5: Solve for x
    x = 2,698,870,337.45/59,645
  6. Step 6: Final answer
    x = 45,248.89

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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.