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Finding the Fourth Proportional to 32,117.10, 48,175.65 and 20,307.30

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Solution

The fourth proportional to 32,117.10, 48,175.65 and 20,307.30 is: 30,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.10 : 48,175.65 = 20,307.30 : x
  2. Step 2: Convert to fraction form
    32,117.10/48,175.65 = 20,307.30/x
  3. Step 3: Cross multiply
    32,117.10x = 48,175.65 × 20,307.30
  4. Step 4: Simplify right side
    32,117.10x = 978,317,377.25
  5. Step 5: Solve for x
    x = 978,317,377.25/32,117.10
  6. Step 6: Final answer
    x = 30,460.95

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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.