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Finding the Fourth Proportional to 31,007.20, 46,510.80 and 19,343.20

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Solution

The fourth proportional to 31,007.20, 46,510.80 and 19,343.20 is: 29,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.20 : 46,510.80 = 19,343.20 : x
  2. Step 2: Convert to fraction form
    31,007.20/46,510.80 = 19,343.20/x
  3. Step 3: Cross multiply
    31,007.20x = 46,510.80 × 19,343.20
  4. Step 4: Simplify right side
    31,007.20x = 899,667,706.56
  5. Step 5: Solve for x
    x = 899,667,706.56/31,007.20
  6. Step 6: Final answer
    x = 29,014.80

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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.