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Finding the Fourth Proportional to 37,311.12, 51,455.52 and 24,714

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Solution

The fourth proportional to 37,311.12, 51,455.52 and 24,714 is: 34,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,311.12 : 51,455.52 = 24,714 : x
  2. Step 2: Convert to fraction form
    37,311.12/51,455.52 = 24,714/x
  3. Step 3: Cross multiply
    37,311.12x = 51,455.52 × 24,714
  4. Step 4: Simplify right side
    37,311.12x = 1,271,671,721.28
  5. Step 5: Solve for x
    x = 1,271,671,721.28/37,311.12
  6. Step 6: Final answer
    x = 34,082.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.