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Finding the Fourth Proportional to 92,657.50, 138,986.23 and 22,536.20

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Solution

The fourth proportional to 92,657.50, 138,986.23 and 22,536.20 is: 33,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,657.50 : 138,986.23 = 22,536.20 : x
  2. Step 2: Convert to fraction form
    92,657.50/138,986.23 = 22,536.20/x
  3. Step 3: Cross multiply
    92,657.50x = 138,986.23 × 22,536.20
  4. Step 4: Simplify right side
    92,657.50x = 3,132,221,476.53
  5. Step 5: Solve for x
    x = 3,132,221,476.53/92,657.50
  6. Step 6: Final answer
    x = 33,804.30

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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.