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Finding the Fourth Proportional to 32,521.62, 48,776.76 and 9,142.50

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Solution

The fourth proportional to 32,521.62, 48,776.76 and 9,142.50 is: 13,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.62 : 48,776.76 = 9,142.50 : x
  2. Step 2: Convert to fraction form
    32,521.62/48,776.76 = 9,142.50/x
  3. Step 3: Cross multiply
    32,521.62x = 48,776.76 × 9,142.50
  4. Step 4: Simplify right side
    32,521.62x = 445,941,528.30
  5. Step 5: Solve for x
    x = 445,941,528.30/32,521.62
  6. Step 6: Final answer
    x = 13,712.16

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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.