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Finding the Fourth Proportional to 83,122.08, 114,708.32 and 45,396.32

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Solution

The fourth proportional to 83,122.08, 114,708.32 and 45,396.32 is: 62,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122.08 : 114,708.32 = 45,396.32 : x
  2. Step 2: Convert to fraction form
    83,122.08/114,708.32 = 45,396.32/x
  3. Step 3: Cross multiply
    83,122.08x = 114,708.32 × 45,396.32
  4. Step 4: Simplify right side
    83,122.08x = 5,207,335,601.38
  5. Step 5: Solve for x
    x = 5,207,335,601.38/83,122.08
  6. Step 6: Final answer
    x = 62,646.84

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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.