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Finding the Fourth Proportional to 38,470.40, 57,731.40 and 13,510.40

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Solution

The fourth proportional to 38,470.40, 57,731.40 and 13,510.40 is: 20,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.40 : 57,731.40 = 13,510.40 : x
  2. Step 2: Convert to fraction form
    38,470.40/57,731.40 = 13,510.40/x
  3. Step 3: Cross multiply
    38,470.40x = 57,731.40 × 13,510.40
  4. Step 4: Simplify right side
    38,470.40x = 779,974,306.56
  5. Step 5: Solve for x
    x = 779,974,306.56/38,470.40
  6. Step 6: Final answer
    x = 20,274.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.