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Finding the Fourth Proportional to 29,826.78, 41,145.78 and 22,740.90

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Solution

The fourth proportional to 29,826.78, 41,145.78 and 22,740.90 is: 31,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.78 : 41,145.78 = 22,740.90 : x
  2. Step 2: Convert to fraction form
    29,826.78/41,145.78 = 22,740.90/x
  3. Step 3: Cross multiply
    29,826.78x = 41,145.78 × 22,740.90
  4. Step 4: Simplify right side
    29,826.78x = 935,692,068.40
  5. Step 5: Solve for x
    x = 935,692,068.40/29,826.78
  6. Step 6: Final answer
    x = 31,370.87

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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.