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Finding the Fourth Proportional to 82,987.50, 124,486.92 and 23,818.62

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Solution

The fourth proportional to 82,987.50, 124,486.92 and 23,818.62 is: 35,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987.50 : 124,486.92 = 23,818.62 : x
  2. Step 2: Convert to fraction form
    82,987.50/124,486.92 = 23,818.62/x
  3. Step 3: Cross multiply
    82,987.50x = 124,486.92 × 23,818.62
  4. Step 4: Simplify right side
    82,987.50x = 2,965,106,642.45
  5. Step 5: Solve for x
    x = 2,965,106,642.45/82,987.50
  6. Step 6: Final answer
    x = 35,729.56

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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.