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Finding the Fourth Proportional to 32,097.28, 48,166.58 and 17,316.40

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Solution

The fourth proportional to 32,097.28, 48,166.58 and 17,316.40 is: 25,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.28 : 48,166.58 = 17,316.40 : x
  2. Step 2: Convert to fraction form
    32,097.28/48,166.58 = 17,316.40/x
  3. Step 3: Cross multiply
    32,097.28x = 48,166.58 × 17,316.40
  4. Step 4: Simplify right side
    32,097.28x = 834,071,765.91
  5. Step 5: Solve for x
    x = 834,071,765.91/32,097.28
  6. Step 6: Final answer
    x = 25,985.75

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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.