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Finding the Fourth Proportional to 32,622.77, 48,941.82 and 10,132.30

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Solution

The fourth proportional to 32,622.77, 48,941.82 and 10,132.30 is: 15,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622.77 : 48,941.82 = 10,132.30 : x
  2. Step 2: Convert to fraction form
    32,622.77/48,941.82 = 10,132.30/x
  3. Step 3: Cross multiply
    32,622.77x = 48,941.82 × 10,132.30
  4. Step 4: Simplify right side
    32,622.77x = 495,893,152.12
  5. Step 5: Solve for x
    x = 495,893,152.12/32,622.77
  6. Step 6: Final answer
    x = 15,200.83

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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.