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Finding the Fourth Proportional to 32,442.57, 48,671.97 and 9,068.82

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Solution

The fourth proportional to 32,442.57, 48,671.97 and 9,068.82 is: 13,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.57 : 48,671.97 = 9,068.82 : x
  2. Step 2: Convert to fraction form
    32,442.57/48,671.97 = 9,068.82/x
  3. Step 3: Cross multiply
    32,442.57x = 48,671.97 × 9,068.82
  4. Step 4: Simplify right side
    32,442.57x = 441,397,334.98
  5. Step 5: Solve for x
    x = 441,397,334.98/32,442.57
  6. Step 6: Final answer
    x = 13,605.50

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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.