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Finding the Fourth Proportional to 51,607.40, 71,223.78 and 29,249

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Solution

The fourth proportional to 51,607.40, 71,223.78 and 29,249 is: 40,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,607.40 : 71,223.78 = 29,249 : x
  2. Step 2: Convert to fraction form
    51,607.40/71,223.78 = 29,249/x
  3. Step 3: Cross multiply
    51,607.40x = 71,223.78 × 29,249
  4. Step 4: Simplify right side
    51,607.40x = 2,083,224,341.22
  5. Step 5: Solve for x
    x = 2,083,224,341.22/51,607.40
  6. Step 6: Final answer
    x = 40,366.78

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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.