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Finding the Fourth Proportional to 41,641.76, 62,462.67 and 10,477

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Solution

The fourth proportional to 41,641.76, 62,462.67 and 10,477 is: 15,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,641.76 : 62,462.67 = 10,477 : x
  2. Step 2: Convert to fraction form
    41,641.76/62,462.67 = 10,477/x
  3. Step 3: Cross multiply
    41,641.76x = 62,462.67 × 10,477
  4. Step 4: Simplify right side
    41,641.76x = 654,421,393.59
  5. Step 5: Solve for x
    x = 654,421,393.59/41,641.76
  6. Step 6: Final answer
    x = 15,715.51

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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.