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Finding the Fourth Proportional to 86,140.67, 129,200.74 and 22,965.53

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Solution

The fourth proportional to 86,140.67, 129,200.74 and 22,965.53 is: 34,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,140.67 : 129,200.74 = 22,965.53 : x
  2. Step 2: Convert to fraction form
    86,140.67/129,200.74 = 22,965.53/x
  3. Step 3: Cross multiply
    86,140.67x = 129,200.74 × 22,965.53
  4. Step 4: Simplify right side
    86,140.67x = 2,967,162,767.07
  5. Step 5: Solve for x
    x = 2,967,162,767.07/86,140.67
  6. Step 6: Final answer
    x = 34,445.55

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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.