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Finding the Fourth Proportional to 32,307.25, 48,460.27 and 17,609.71

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Solution

The fourth proportional to 32,307.25, 48,460.27 and 17,609.71 is: 26,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.25 : 48,460.27 = 17,609.71 : x
  2. Step 2: Convert to fraction form
    32,307.25/48,460.27 = 17,609.71/x
  3. Step 3: Cross multiply
    32,307.25x = 48,460.27 × 17,609.71
  4. Step 4: Simplify right side
    32,307.25x = 853,371,301.22
  5. Step 5: Solve for x
    x = 853,371,301.22/32,307.25
  6. Step 6: Final answer
    x = 26,414.24

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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.