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Finding the Fourth Proportional to 57,158.80, 78,878.28 and 32,009.20

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Solution

The fourth proportional to 57,158.80, 78,878.28 and 32,009.20 is: 44,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,158.80 : 78,878.28 = 32,009.20 : x
  2. Step 2: Convert to fraction form
    57,158.80/78,878.28 = 32,009.20/x
  3. Step 3: Cross multiply
    57,158.80x = 78,878.28 × 32,009.20
  4. Step 4: Simplify right side
    57,158.80x = 2,524,830,640.18
  5. Step 5: Solve for x
    x = 2,524,830,640.18/57,158.80
  6. Step 6: Final answer
    x = 44,172.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.