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Finding the Fourth Proportional to 10,000.31, 15,001.22 and 2,980.19

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Solution

The fourth proportional to 10,000.31, 15,001.22 and 2,980.19 is: 4,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.31 : 15,001.22 = 2,980.19 : x
  2. Step 2: Convert to fraction form
    10,000.31/15,001.22 = 2,980.19/x
  3. Step 3: Cross multiply
    10,000.31x = 15,001.22 × 2,980.19
  4. Step 4: Simplify right side
    10,000.31x = 44,706,395.92
  5. Step 5: Solve for x
    x = 44,706,395.92/10,000.31
  6. Step 6: Final answer
    x = 4,470.50

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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.