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Finding the Fourth Proportional to 29,683.89, 40,963.02 and 16,255.71

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Solution

The fourth proportional to 29,683.89, 40,963.02 and 16,255.71 is: 22,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.89 : 40,963.02 = 16,255.71 : x
  2. Step 2: Convert to fraction form
    29,683.89/40,963.02 = 16,255.71/x
  3. Step 3: Cross multiply
    29,683.89x = 40,963.02 × 16,255.71
  4. Step 4: Simplify right side
    29,683.89x = 665,882,973.84
  5. Step 5: Solve for x
    x = 665,882,973.84/29,683.89
  6. Step 6: Final answer
    x = 22,432.47

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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.