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Finding the Fourth Proportional to 78,686.38, 108,590.79 and 46,422.22

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Solution

The fourth proportional to 78,686.38, 108,590.79 and 46,422.22 is: 64,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,686.38 : 108,590.79 = 46,422.22 : x
  2. Step 2: Convert to fraction form
    78,686.38/108,590.79 = 46,422.22/x
  3. Step 3: Cross multiply
    78,686.38x = 108,590.79 × 46,422.22
  4. Step 4: Simplify right side
    78,686.38x = 5,041,025,543.35
  5. Step 5: Solve for x
    x = 5,041,025,543.35/78,686.38
  6. Step 6: Final answer
    x = 64,064.78

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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.