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Finding the Fourth Proportional to 32,088.30, 48,092.32 and 15,443.86

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Solution

The fourth proportional to 32,088.30, 48,092.32 and 15,443.86 is: 23,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088.30 : 48,092.32 = 15,443.86 : x
  2. Step 2: Convert to fraction form
    32,088.30/48,092.32 = 15,443.86/x
  3. Step 3: Cross multiply
    32,088.30x = 48,092.32 × 15,443.86
  4. Step 4: Simplify right side
    32,088.30x = 742,731,057.16
  5. Step 5: Solve for x
    x = 742,731,057.16/32,088.30
  6. Step 6: Final answer
    x = 23,146.48

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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.