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Finding the Fourth Proportional to 127,686.76, 191,561.16 and 38,941.84

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Solution

The fourth proportional to 127,686.76, 191,561.16 and 38,941.84 is: 58,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,686.76 : 191,561.16 = 38,941.84 : x
  2. Step 2: Convert to fraction form
    127,686.76/191,561.16 = 38,941.84/x
  3. Step 3: Cross multiply
    127,686.76x = 191,561.16 × 38,941.84
  4. Step 4: Simplify right side
    127,686.76x = 7,459,744,042.93
  5. Step 5: Solve for x
    x = 7,459,744,042.93/127,686.76
  6. Step 6: Final answer
    x = 58,422.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.