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Finding the Fourth Proportional to 98,525.38, 135,965.18 and 56,083.92

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Solution

The fourth proportional to 98,525.38, 135,965.18 and 56,083.92 is: 77,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,525.38 : 135,965.18 = 56,083.92 : x
  2. Step 2: Convert to fraction form
    98,525.38/135,965.18 = 56,083.92/x
  3. Step 3: Cross multiply
    98,525.38x = 135,965.18 × 56,083.92
  4. Step 4: Simplify right side
    98,525.38x = 7,625,460,277.91
  5. Step 5: Solve for x
    x = 7,625,460,277.91/98,525.38
  6. Step 6: Final answer
    x = 77,395.90

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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.