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Finding the Fourth Proportional to 32,520.56, 48,775.32 and 9,141.50

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Solution

The fourth proportional to 32,520.56, 48,775.32 and 9,141.50 is: 13,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,520.56 : 48,775.32 = 9,141.50 : x
  2. Step 2: Convert to fraction form
    32,520.56/48,775.32 = 9,141.50/x
  3. Step 3: Cross multiply
    32,520.56x = 48,775.32 × 9,141.50
  4. Step 4: Simplify right side
    32,520.56x = 445,879,587.78
  5. Step 5: Solve for x
    x = 445,879,587.78/32,520.56
  6. Step 6: Final answer
    x = 13,710.70

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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.