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Finding the Fourth Proportional to 41,598, 62,397.48 and 12,016.16

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Solution

The fourth proportional to 41,598, 62,397.48 and 12,016.16 is: 18,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,598 : 62,397.48 = 12,016.16 : x
  2. Step 2: Convert to fraction form
    41,598/62,397.48 = 12,016.16/x
  3. Step 3: Cross multiply
    41,598x = 62,397.48 × 12,016.16
  4. Step 4: Simplify right side
    41,598x = 749,778,103.28
  5. Step 5: Solve for x
    x = 749,778,103.28/41,598
  6. Step 6: Final answer
    x = 18,024.38

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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.