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Finding the Fourth Proportional to 32,486.16, 48,731.76 and 10,298.88

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Solution

The fourth proportional to 32,486.16, 48,731.76 and 10,298.88 is: 15,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.16 : 48,731.76 = 10,298.88 : x
  2. Step 2: Convert to fraction form
    32,486.16/48,731.76 = 10,298.88/x
  3. Step 3: Cross multiply
    32,486.16x = 48,731.76 × 10,298.88
  4. Step 4: Simplify right side
    32,486.16x = 501,882,548.43
  5. Step 5: Solve for x
    x = 501,882,548.43/32,486.16
  6. Step 6: Final answer
    x = 15,449.12

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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.