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Finding the Fourth Proportional to 59,651.40, 82,319.10 and 34,158.15

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Solution

The fourth proportional to 59,651.40, 82,319.10 and 34,158.15 is: 47,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,651.40 : 82,319.10 = 34,158.15 : x
  2. Step 2: Convert to fraction form
    59,651.40/82,319.10 = 34,158.15/x
  3. Step 3: Cross multiply
    59,651.40x = 82,319.10 × 34,158.15
  4. Step 4: Simplify right side
    59,651.40x = 2,811,868,165.67
  5. Step 5: Solve for x
    x = 2,811,868,165.67/59,651.40
  6. Step 6: Final answer
    x = 47,138.34

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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.