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Finding the Fourth Proportional to 53,233.78, 79,869.78 and 22,826.20

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Solution

The fourth proportional to 53,233.78, 79,869.78 and 22,826.20 is: 34,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,233.78 : 79,869.78 = 22,826.20 : x
  2. Step 2: Convert to fraction form
    53,233.78/79,869.78 = 22,826.20/x
  3. Step 3: Cross multiply
    53,233.78x = 79,869.78 × 22,826.20
  4. Step 4: Simplify right side
    53,233.78x = 1,823,123,572.24
  5. Step 5: Solve for x
    x = 1,823,123,572.24/53,233.78
  6. Step 6: Final answer
    x = 34,247.49

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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.