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Finding the Fourth Proportional to 41,335, 62,002.53 and 13,633

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Solution

The fourth proportional to 41,335, 62,002.53 and 13,633 is: 20,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,335 : 62,002.53 = 13,633 : x
  2. Step 2: Convert to fraction form
    41,335/62,002.53 = 13,633/x
  3. Step 3: Cross multiply
    41,335x = 62,002.53 × 13,633
  4. Step 4: Simplify right side
    41,335x = 845,280,491.49
  5. Step 5: Solve for x
    x = 845,280,491.49/41,335
  6. Step 6: Final answer
    x = 20,449.51

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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.