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Finding the Fourth Proportional to 61,714, 92,575.32 and 24,778

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Solution

The fourth proportional to 61,714, 92,575.32 and 24,778 is: 37,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,714 : 92,575.32 = 24,778 : x
  2. Step 2: Convert to fraction form
    61,714/92,575.32 = 24,778/x
  3. Step 3: Cross multiply
    61,714x = 92,575.32 × 24,778
  4. Step 4: Simplify right side
    61,714x = 2,293,831,278.96
  5. Step 5: Solve for x
    x = 2,293,831,278.96/61,714
  6. Step 6: Final answer
    x = 37,168.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.