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Finding the Fourth Proportional to 32,438.10, 48,657.15 and 11,663.70

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Solution

The fourth proportional to 32,438.10, 48,657.15 and 11,663.70 is: 17,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.10 : 48,657.15 = 11,663.70 : x
  2. Step 2: Convert to fraction form
    32,438.10/48,657.15 = 11,663.70/x
  3. Step 3: Cross multiply
    32,438.10x = 48,657.15 × 11,663.70
  4. Step 4: Simplify right side
    32,438.10x = 567,522,400.46
  5. Step 5: Solve for x
    x = 567,522,400.46/32,438.10
  6. Step 6: Final answer
    x = 17,495.55

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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.