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Finding the Fourth Proportional to 44,920.80, 67,275.84 and 22,680

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Solution

The fourth proportional to 44,920.80, 67,275.84 and 22,680 is: 33,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,920.80 : 67,275.84 = 22,680 : x
  2. Step 2: Convert to fraction form
    44,920.80/67,275.84 = 22,680/x
  3. Step 3: Cross multiply
    44,920.80x = 67,275.84 × 22,680
  4. Step 4: Simplify right side
    44,920.80x = 1,525,816,051.20
  5. Step 5: Solve for x
    x = 1,525,816,051.20/44,920.80
  6. Step 6: Final answer
    x = 33,966.80

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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.