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Finding the Fourth Proportional to 22,998,842.70, 34,498,264.05 and 6,827,289.90

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Solution

The fourth proportional to 22,998,842.70, 34,498,264.05 and 6,827,289.90 is: 10,240,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998,842.70 : 34,498,264.05 = 6,827,289.90 : x
  2. Step 2: Convert to fraction form
    22,998,842.70/34,498,264.05 = 6,827,289.90/x
  3. Step 3: Cross multiply
    22,998,842.70x = 34,498,264.05 × 6,827,289.90
  4. Step 4: Simplify right side
    22,998,842.70x = 235,529,649,716,098.09
  5. Step 5: Solve for x
    x = 235,529,649,716,098.09/22,998,842.70
  6. Step 6: Final answer
    x = 10,240,934.85

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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.