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Finding the Fourth Proportional to 57,734.40, 86,536.80 and 29,643.60

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Solution

The fourth proportional to 57,734.40, 86,536.80 and 29,643.60 is: 44,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734.40 : 86,536.80 = 29,643.60 : x
  2. Step 2: Convert to fraction form
    57,734.40/86,536.80 = 29,643.60/x
  3. Step 3: Cross multiply
    57,734.40x = 86,536.80 × 29,643.60
  4. Step 4: Simplify right side
    57,734.40x = 2,565,262,284.48
  5. Step 5: Solve for x
    x = 2,565,262,284.48/57,734.40
  6. Step 6: Final answer
    x = 44,432.13

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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.