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Finding the Fourth Proportional to 83,140.86, 114,730.10 and 45,407.82

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Solution

The fourth proportional to 83,140.86, 114,730.10 and 45,407.82 is: 62,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140.86 : 114,730.10 = 45,407.82 : x
  2. Step 2: Convert to fraction form
    83,140.86/114,730.10 = 45,407.82/x
  3. Step 3: Cross multiply
    83,140.86x = 114,730.10 × 45,407.82
  4. Step 4: Simplify right side
    83,140.86x = 5,209,643,729.38
  5. Step 5: Solve for x
    x = 5,209,643,729.38/83,140.86
  6. Step 6: Final answer
    x = 62,660.45

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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.