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Finding the Fourth Proportional to 32,488, 48,733.92 and 10,600

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Solution

The fourth proportional to 32,488, 48,733.92 and 10,600 is: 15,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488 : 48,733.92 = 10,600 : x
  2. Step 2: Convert to fraction form
    32,488/48,733.92 = 10,600/x
  3. Step 3: Cross multiply
    32,488x = 48,733.92 × 10,600
  4. Step 4: Simplify right side
    32,488x = 516,579,552
  5. Step 5: Solve for x
    x = 516,579,552/32,488
  6. Step 6: Final answer
    x = 15,900.63

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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.