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Finding the Fourth Proportional to 55,874.50, 77,106.13 and 41,598.11

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Solution

The fourth proportional to 55,874.50, 77,106.13 and 41,598.11 is: 57,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874.50 : 77,106.13 = 41,598.11 : x
  2. Step 2: Convert to fraction form
    55,874.50/77,106.13 = 41,598.11/x
  3. Step 3: Cross multiply
    55,874.50x = 77,106.13 × 41,598.11
  4. Step 4: Simplify right side
    55,874.50x = 3,207,469,366.18
  5. Step 5: Solve for x
    x = 3,207,469,366.18/55,874.50
  6. Step 6: Final answer
    x = 57,404.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.