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Finding the Fourth Proportional to 66,877.91, 100,329.98 and 24,758.31

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Solution

The fourth proportional to 66,877.91, 100,329.98 and 24,758.31 is: 37,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,877.91 : 100,329.98 = 24,758.31 : x
  2. Step 2: Convert to fraction form
    66,877.91/100,329.98 = 24,758.31/x
  3. Step 3: Cross multiply
    66,877.91x = 100,329.98 × 24,758.31
  4. Step 4: Simplify right side
    66,877.91x = 2,484,000,623.34
  5. Step 5: Solve for x
    x = 2,484,000,623.34/66,877.91
  6. Step 6: Final answer
    x = 37,142.32

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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.