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Finding the Fourth Proportional to 32,891.24, 49,337.76 and 9,518.60

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Solution

The fourth proportional to 32,891.24, 49,337.76 and 9,518.60 is: 14,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.24 : 49,337.76 = 9,518.60 : x
  2. Step 2: Convert to fraction form
    32,891.24/49,337.76 = 9,518.60/x
  3. Step 3: Cross multiply
    32,891.24x = 49,337.76 × 9,518.60
  4. Step 4: Simplify right side
    32,891.24x = 469,626,402.34
  5. Step 5: Solve for x
    x = 469,626,402.34/32,891.24
  6. Step 6: Final answer
    x = 14,278.16

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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.