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Finding the Fourth Proportional to 52,536.80, 78,862.80 and 32,837.60

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Solution

The fourth proportional to 52,536.80, 78,862.80 and 32,837.60 is: 49,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,536.80 : 78,862.80 = 32,837.60 : x
  2. Step 2: Convert to fraction form
    52,536.80/78,862.80 = 32,837.60/x
  3. Step 3: Cross multiply
    52,536.80x = 78,862.80 × 32,837.60
  4. Step 4: Simplify right side
    52,536.80x = 2,589,665,081.28
  5. Step 5: Solve for x
    x = 2,589,665,081.28/52,536.80
  6. Step 6: Final answer
    x = 49,292.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.