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Finding the Fourth Proportional to 57,348, 79,140.24 and 32,197.50

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Solution

The fourth proportional to 57,348, 79,140.24 and 32,197.50 is: 44,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,348 : 79,140.24 = 32,197.50 : x
  2. Step 2: Convert to fraction form
    57,348/79,140.24 = 32,197.50/x
  3. Step 3: Cross multiply
    57,348x = 79,140.24 × 32,197.50
  4. Step 4: Simplify right side
    57,348x = 2,548,117,877.40
  5. Step 5: Solve for x
    x = 2,548,117,877.40/57,348
  6. Step 6: Final answer
    x = 44,432.55

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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.