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Finding the Fourth Proportional to 86,851.72, 130,282.62 and 24,517

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Solution

The fourth proportional to 86,851.72, 130,282.62 and 24,517 is: 36,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,851.72 : 130,282.62 = 24,517 : x
  2. Step 2: Convert to fraction form
    86,851.72/130,282.62 = 24,517/x
  3. Step 3: Cross multiply
    86,851.72x = 130,282.62 × 24,517
  4. Step 4: Simplify right side
    86,851.72x = 3,194,138,994.54
  5. Step 5: Solve for x
    x = 3,194,138,994.54/86,851.72
  6. Step 6: Final answer
    x = 36,776.92

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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.