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Finding the Fourth Proportional to 41,760.04, 62,648.86 and 15,465

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Solution

The fourth proportional to 41,760.04, 62,648.86 and 15,465 is: 23,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,760.04 : 62,648.86 = 15,465 : x
  2. Step 2: Convert to fraction form
    41,760.04/62,648.86 = 15,465/x
  3. Step 3: Cross multiply
    41,760.04x = 62,648.86 × 15,465
  4. Step 4: Simplify right side
    41,760.04x = 968,864,619.90
  5. Step 5: Solve for x
    x = 968,864,619.90/41,760.04
  6. Step 6: Final answer
    x = 23,200.76

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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.