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Finding the Fourth Proportional to 77,874.20, 116,830.80 and 22,470.20

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Solution

The fourth proportional to 77,874.20, 116,830.80 and 22,470.20 is: 33,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874.20 : 116,830.80 = 22,470.20 : x
  2. Step 2: Convert to fraction form
    77,874.20/116,830.80 = 22,470.20/x
  3. Step 3: Cross multiply
    77,874.20x = 116,830.80 × 22,470.20
  4. Step 4: Simplify right side
    77,874.20x = 2,625,210,858.01
  5. Step 5: Solve for x
    x = 2,625,210,858.01/77,874.20
  6. Step 6: Final answer
    x = 33,710.92

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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.