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Finding the Fourth Proportional to 31,878.27, 47,823.21 and 10,532.21

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Solution

The fourth proportional to 31,878.27, 47,823.21 and 10,532.21 is: 15,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.27 : 47,823.21 = 10,532.21 : x
  2. Step 2: Convert to fraction form
    31,878.27/47,823.21 = 10,532.21/x
  3. Step 3: Cross multiply
    31,878.27x = 47,823.21 × 10,532.21
  4. Step 4: Simplify right side
    31,878.27x = 503,683,851.48
  5. Step 5: Solve for x
    x = 503,683,851.48/31,878.27
  6. Step 6: Final answer
    x = 15,800.23

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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.