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Finding the Fourth Proportional to 57,807.60, 79,772.80 and 32,314

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Solution

The fourth proportional to 57,807.60, 79,772.80 and 32,314 is: 44,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807.60 : 79,772.80 = 32,314 : x
  2. Step 2: Convert to fraction form
    57,807.60/79,772.80 = 32,314/x
  3. Step 3: Cross multiply
    57,807.60x = 79,772.80 × 32,314
  4. Step 4: Simplify right side
    57,807.60x = 2,577,778,259.20
  5. Step 5: Solve for x
    x = 2,577,778,259.20/57,807.60
  6. Step 6: Final answer
    x = 44,592.38

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Why These Related Problems?

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