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Finding the Fourth Proportional to 73,689.84, 101,686.32 and 41,422.68

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Solution

The fourth proportional to 73,689.84, 101,686.32 and 41,422.68 is: 57,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,689.84 : 101,686.32 = 41,422.68 : x
  2. Step 2: Convert to fraction form
    73,689.84/101,686.32 = 41,422.68/x
  3. Step 3: Cross multiply
    73,689.84x = 101,686.32 × 41,422.68
  4. Step 4: Simplify right side
    73,689.84x = 4,212,119,893.74
  5. Step 5: Solve for x
    x = 4,212,119,893.74/73,689.84
  6. Step 6: Final answer
    x = 57,160.12

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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.