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Finding the Fourth Proportional to 73,686.26, 101,681.57 and 41,849

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Solution

The fourth proportional to 73,686.26, 101,681.57 and 41,849 is: 57,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,686.26 : 101,681.57 = 41,849 : x
  2. Step 2: Convert to fraction form
    73,686.26/101,681.57 = 41,849/x
  3. Step 3: Cross multiply
    73,686.26x = 101,681.57 × 41,849
  4. Step 4: Simplify right side
    73,686.26x = 4,255,271,813.69
  5. Step 5: Solve for x
    x = 4,255,271,813.69/73,686.26
  6. Step 6: Final answer
    x = 57,748.52

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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.