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Finding the Fourth Proportional to 101,829.39, 152,563.37 and 42,534.57

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Solution

The fourth proportional to 101,829.39, 152,563.37 and 42,534.57 is: 63,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,829.39 : 152,563.37 = 42,534.57 : x
  2. Step 2: Convert to fraction form
    101,829.39/152,563.37 = 42,534.57/x
  3. Step 3: Cross multiply
    101,829.39x = 152,563.37 × 42,534.57
  4. Step 4: Simplify right side
    101,829.39x = 6,489,217,128.03
  5. Step 5: Solve for x
    x = 6,489,217,128.03/101,829.39
  6. Step 6: Final answer
    x = 63,726.37

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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.