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Finding the Fourth Proportional to 32,116.40, 48,160.20 and 14,577.20

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Solution

The fourth proportional to 32,116.40, 48,160.20 and 14,577.20 is: 21,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.40 : 48,160.20 = 14,577.20 : x
  2. Step 2: Convert to fraction form
    32,116.40/48,160.20 = 14,577.20/x
  3. Step 3: Cross multiply
    32,116.40x = 48,160.20 × 14,577.20
  4. Step 4: Simplify right side
    32,116.40x = 702,040,867.44
  5. Step 5: Solve for x
    x = 702,040,867.44/32,116.40
  6. Step 6: Final answer
    x = 21,859.26

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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.