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Finding the Fourth Proportional to 61,766.64, 92,649.96 and 24,822

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Solution

The fourth proportional to 61,766.64, 92,649.96 and 24,822 is: 37,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,766.64 : 92,649.96 = 24,822 : x
  2. Step 2: Convert to fraction form
    61,766.64/92,649.96 = 24,822/x
  3. Step 3: Cross multiply
    61,766.64x = 92,649.96 × 24,822
  4. Step 4: Simplify right side
    61,766.64x = 2,299,757,307.12
  5. Step 5: Solve for x
    x = 2,299,757,307.12/61,766.64
  6. Step 6: Final answer
    x = 37,233.00

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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.