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Finding the Fourth Proportional to 52,002.80, 78,004.20 and 43,254.80

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Solution

The fourth proportional to 52,002.80, 78,004.20 and 43,254.80 is: 64,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.80 : 78,004.20 = 43,254.80 : x
  2. Step 2: Convert to fraction form
    52,002.80/78,004.20 = 43,254.80/x
  3. Step 3: Cross multiply
    52,002.80x = 78,004.20 × 43,254.80
  4. Step 4: Simplify right side
    52,002.80x = 3,374,056,070.16
  5. Step 5: Solve for x
    x = 3,374,056,070.16/52,002.80
  6. Step 6: Final answer
    x = 64,882.20

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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.