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Finding the Fourth Proportional to 32,483.18, 48,731.98 and 10,297.88

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Solution

The fourth proportional to 32,483.18, 48,731.98 and 10,297.88 is: 15,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.18 : 48,731.98 = 10,297.88 : x
  2. Step 2: Convert to fraction form
    32,483.18/48,731.98 = 10,297.88/x
  3. Step 3: Cross multiply
    32,483.18x = 48,731.98 × 10,297.88
  4. Step 4: Simplify right side
    32,483.18x = 501,836,082.20
  5. Step 5: Solve for x
    x = 501,836,082.20/32,483.18
  6. Step 6: Final answer
    x = 15,449.11

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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.