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Finding the Fourth Proportional to 55,974.80, 83,981.40 and 24,832.40

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Solution

The fourth proportional to 55,974.80, 83,981.40 and 24,832.40 is: 37,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974.80 : 83,981.40 = 24,832.40 : x
  2. Step 2: Convert to fraction form
    55,974.80/83,981.40 = 24,832.40/x
  3. Step 3: Cross multiply
    55,974.80x = 83,981.40 × 24,832.40
  4. Step 4: Simplify right side
    55,974.80x = 2,085,459,717.36
  5. Step 5: Solve for x
    x = 2,085,459,717.36/55,974.80
  6. Step 6: Final answer
    x = 37,257.12

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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.