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Finding the Fourth Proportional to 41,421.75, 62,132.63 and 10,257

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Solution

The fourth proportional to 41,421.75, 62,132.63 and 10,257 is: 15,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,421.75 : 62,132.63 = 10,257 : x
  2. Step 2: Convert to fraction form
    41,421.75/62,132.63 = 10,257/x
  3. Step 3: Cross multiply
    41,421.75x = 62,132.63 × 10,257
  4. Step 4: Simplify right side
    41,421.75x = 637,294,334.63
  5. Step 5: Solve for x
    x = 637,294,334.63/41,421.75
  6. Step 6: Final answer
    x = 15,385.50

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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.