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Finding the Fourth Proportional to 32,116.71, 48,175.43 and 14,348.28

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Solution

The fourth proportional to 32,116.71, 48,175.43 and 14,348.28 is: 21,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.71 : 48,175.43 = 14,348.28 : x
  2. Step 2: Convert to fraction form
    32,116.71/48,175.43 = 14,348.28/x
  3. Step 3: Cross multiply
    32,116.71x = 48,175.43 × 14,348.28
  4. Step 4: Simplify right side
    32,116.71x = 691,234,487.02
  5. Step 5: Solve for x
    x = 691,234,487.02/32,116.71
  6. Step 6: Final answer
    x = 21,522.58

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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.