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Finding the Fourth Proportional to 86,134.98, 129,203.47 and 22,954.74

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Solution

The fourth proportional to 86,134.98, 129,203.47 and 22,954.74 is: 34,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,134.98 : 129,203.47 = 22,954.74 : x
  2. Step 2: Convert to fraction form
    86,134.98/129,203.47 = 22,954.74/x
  3. Step 3: Cross multiply
    86,134.98x = 129,203.47 × 22,954.74
  4. Step 4: Simplify right side
    86,134.98x = 2,965,832,060.95
  5. Step 5: Solve for x
    x = 2,965,832,060.95/86,134.98
  6. Step 6: Final answer
    x = 34,432.38

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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.