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Finding the Fourth Proportional to 83,292.78, 114,946.90 and 45,567.02

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Solution

The fourth proportional to 83,292.78, 114,946.90 and 45,567.02 is: 62,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.78 : 114,946.90 = 45,567.02 : x
  2. Step 2: Convert to fraction form
    83,292.78/114,946.90 = 45,567.02/x
  3. Step 3: Cross multiply
    83,292.78x = 114,946.90 × 45,567.02
  4. Step 4: Simplify right side
    83,292.78x = 5,237,787,691.24
  5. Step 5: Solve for x
    x = 5,237,787,691.24/83,292.78
  6. Step 6: Final answer
    x = 62,884.05

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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.