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Finding the Fourth Proportional to 27,064.60, 40,596.95 and 10,432.46

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Solution

The fourth proportional to 27,064.60, 40,596.95 and 10,432.46 is: 15,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.60 : 40,596.95 = 10,432.46 : x
  2. Step 2: Convert to fraction form
    27,064.60/40,596.95 = 10,432.46/x
  3. Step 3: Cross multiply
    27,064.60x = 40,596.95 × 10,432.46
  4. Step 4: Simplify right side
    27,064.60x = 423,526,057.00
  5. Step 5: Solve for x
    x = 423,526,057.00/27,064.60
  6. Step 6: Final answer
    x = 15,648.71

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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.