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Finding the Fourth Proportional to 83,000.52, 114,540.48 and 45,274.50

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Solution

The fourth proportional to 83,000.52, 114,540.48 and 45,274.50 is: 62,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000.52 : 114,540.48 = 45,274.50 : x
  2. Step 2: Convert to fraction form
    83,000.52/114,540.48 = 45,274.50/x
  3. Step 3: Cross multiply
    83,000.52x = 114,540.48 × 45,274.50
  4. Step 4: Simplify right side
    83,000.52x = 5,185,762,961.76
  5. Step 5: Solve for x
    x = 5,185,762,961.76/83,000.52
  6. Step 6: Final answer
    x = 62,478.68

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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.