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Finding the Fourth Proportional to 37,287.84, 55,915.02 and 10,983.36

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Solution

The fourth proportional to 37,287.84, 55,915.02 and 10,983.36 is: 16,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287.84 : 55,915.02 = 10,983.36 : x
  2. Step 2: Convert to fraction form
    37,287.84/55,915.02 = 10,983.36/x
  3. Step 3: Cross multiply
    37,287.84x = 55,915.02 × 10,983.36
  4. Step 4: Simplify right side
    37,287.84x = 614,134,794.07
  5. Step 5: Solve for x
    x = 614,134,794.07/37,287.84
  6. Step 6: Final answer
    x = 16,470.11

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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.