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Finding the Fourth Proportional to 32,486.88, 48,732.06 and 10,301.94

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Solution

The fourth proportional to 32,486.88, 48,732.06 and 10,301.94 is: 15,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.88 : 48,732.06 = 10,301.94 : x
  2. Step 2: Convert to fraction form
    32,486.88/48,732.06 = 10,301.94/x
  3. Step 3: Cross multiply
    32,486.88x = 48,732.06 × 10,301.94
  4. Step 4: Simplify right side
    32,486.88x = 502,034,758.20
  5. Step 5: Solve for x
    x = 502,034,758.20/32,486.88
  6. Step 6: Final answer
    x = 15,453.46

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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.