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Finding the Fourth Proportional to 98,652.78, 147,987.27 and 42,494.22

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Solution

The fourth proportional to 98,652.78, 147,987.27 and 42,494.22 is: 63,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652.78 : 147,987.27 = 42,494.22 : x
  2. Step 2: Convert to fraction form
    98,652.78/147,987.27 = 42,494.22/x
  3. Step 3: Cross multiply
    98,652.78x = 147,987.27 × 42,494.22
  4. Step 4: Simplify right side
    98,652.78x = 6,288,603,608.58
  5. Step 5: Solve for x
    x = 6,288,603,608.58/98,652.78
  6. Step 6: Final answer
    x = 63,744.82

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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.