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Finding the Fourth Proportional to 53,472.59, 73,793.91 and 30,809.78

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Solution

The fourth proportional to 53,472.59, 73,793.91 and 30,809.78 is: 42,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,472.59 : 73,793.91 = 30,809.78 : x
  2. Step 2: Convert to fraction form
    53,472.59/73,793.91 = 30,809.78/x
  3. Step 3: Cross multiply
    53,472.59x = 73,793.91 × 30,809.78
  4. Step 4: Simplify right side
    53,472.59x = 2,273,574,132.44
  5. Step 5: Solve for x
    x = 2,273,574,132.44/53,472.59
  6. Step 6: Final answer
    x = 42,518.50

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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.