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Finding the Fourth Proportional to 30,854.70, 42,581.97 and 17,429.22

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Solution

The fourth proportional to 30,854.70, 42,581.97 and 17,429.22 is: 24,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.70 : 42,581.97 = 17,429.22 : x
  2. Step 2: Convert to fraction form
    30,854.70/42,581.97 = 17,429.22/x
  3. Step 3: Cross multiply
    30,854.70x = 42,581.97 × 17,429.22
  4. Step 4: Simplify right side
    30,854.70x = 742,170,523.16
  5. Step 5: Solve for x
    x = 742,170,523.16/30,854.70
  6. Step 6: Final answer
    x = 24,053.73

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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.