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Finding the Fourth Proportional to 50,780.80, 70,077.54 and 27,810.50

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Solution

The fourth proportional to 50,780.80, 70,077.54 and 27,810.50 is: 38,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,780.80 : 70,077.54 = 27,810.50 : x
  2. Step 2: Convert to fraction form
    50,780.80/70,077.54 = 27,810.50/x
  3. Step 3: Cross multiply
    50,780.80x = 70,077.54 × 27,810.50
  4. Step 4: Simplify right side
    50,780.80x = 1,948,891,426.17
  5. Step 5: Solve for x
    x = 1,948,891,426.17/50,780.80
  6. Step 6: Final answer
    x = 38,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.