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Finding the Fourth Proportional to 32,518.47, 48,777.72 and 9,144.91

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Solution

The fourth proportional to 32,518.47, 48,777.72 and 9,144.91 is: 13,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,518.47 : 48,777.72 = 9,144.91 : x
  2. Step 2: Convert to fraction form
    32,518.47/48,777.72 = 9,144.91/x
  3. Step 3: Cross multiply
    32,518.47x = 48,777.72 × 9,144.91
  4. Step 4: Simplify right side
    32,518.47x = 446,067,737.46
  5. Step 5: Solve for x
    x = 446,067,737.46/32,518.47
  6. Step 6: Final answer
    x = 13,717.37

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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.