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Finding the Fourth Proportional to 32,294.66, 48,442.91 and 8,921.10

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Solution

The fourth proportional to 32,294.66, 48,442.91 and 8,921.10 is: 13,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294.66 : 48,442.91 = 8,921.10 : x
  2. Step 2: Convert to fraction form
    32,294.66/48,442.91 = 8,921.10/x
  3. Step 3: Cross multiply
    32,294.66x = 48,442.91 × 8,921.10
  4. Step 4: Simplify right side
    32,294.66x = 432,164,044.40
  5. Step 5: Solve for x
    x = 432,164,044.40/32,294.66
  6. Step 6: Final answer
    x = 13,381.90

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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.