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Finding the Fourth Proportional to 32,518.62, 48,772.26 and 9,139.50

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Solution

The fourth proportional to 32,518.62, 48,772.26 and 9,139.50 is: 13,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,518.62 : 48,772.26 = 9,139.50 : x
  2. Step 2: Convert to fraction form
    32,518.62/48,772.26 = 9,139.50/x
  3. Step 3: Cross multiply
    32,518.62x = 48,772.26 × 9,139.50
  4. Step 4: Simplify right side
    32,518.62x = 445,754,070.27
  5. Step 5: Solve for x
    x = 445,754,070.27/32,518.62
  6. Step 6: Final answer
    x = 13,707.66

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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.