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Finding the Fourth Proportional to 32,442.14, 48,671.32 and 9,068.38

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Solution

The fourth proportional to 32,442.14, 48,671.32 and 9,068.38 is: 13,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.14 : 48,671.32 = 9,068.38 : x
  2. Step 2: Convert to fraction form
    32,442.14/48,671.32 = 9,068.38/x
  3. Step 3: Cross multiply
    32,442.14x = 48,671.32 × 9,068.38
  4. Step 4: Simplify right side
    32,442.14x = 441,370,024.86
  5. Step 5: Solve for x
    x = 441,370,024.86/32,442.14
  6. Step 6: Final answer
    x = 13,604.84

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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.