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Finding the Fourth Proportional to 38,470.31, 53,113.03 and 24,865.48

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Solution

The fourth proportional to 38,470.31, 53,113.03 and 24,865.48 is: 34,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.31 : 53,113.03 = 24,865.48 : x
  2. Step 2: Convert to fraction form
    38,470.31/53,113.03 = 24,865.48/x
  3. Step 3: Cross multiply
    38,470.31x = 53,113.03 × 24,865.48
  4. Step 4: Simplify right side
    38,470.31x = 1,320,680,595.31
  5. Step 5: Solve for x
    x = 1,320,680,595.31/38,470.31
  6. Step 6: Final answer
    x = 34,329.87

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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.