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Finding the Fourth Proportional to 53,572.76, 73,928.78 and 29,698

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Solution

The fourth proportional to 53,572.76, 73,928.78 and 29,698 is: 40,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,572.76 : 73,928.78 = 29,698 : x
  2. Step 2: Convert to fraction form
    53,572.76/73,928.78 = 29,698/x
  3. Step 3: Cross multiply
    53,572.76x = 73,928.78 × 29,698
  4. Step 4: Simplify right side
    53,572.76x = 2,195,536,908.44
  5. Step 5: Solve for x
    x = 2,195,536,908.44/53,572.76
  6. Step 6: Final answer
    x = 40,982.34

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1.5x scale

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.