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Finding the Fourth Proportional to 32,442.46, 48,663.78 and 9,069.10

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Solution

The fourth proportional to 32,442.46, 48,663.78 and 9,069.10 is: 13,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.46 : 48,663.78 = 9,069.10 : x
  2. Step 2: Convert to fraction form
    32,442.46/48,663.78 = 9,069.10/x
  3. Step 3: Cross multiply
    32,442.46x = 48,663.78 × 9,069.10
  4. Step 4: Simplify right side
    32,442.46x = 441,336,687.20
  5. Step 5: Solve for x
    x = 441,336,687.20/32,442.46
  6. Step 6: Final answer
    x = 13,603.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.