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Finding the Fourth Proportional to 29,047.38, 40,097.78 and 24,594.40

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Solution

The fourth proportional to 29,047.38, 40,097.78 and 24,594.40 is: 33,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.38 : 40,097.78 = 24,594.40 : x
  2. Step 2: Convert to fraction form
    29,047.38/40,097.78 = 24,594.40/x
  3. Step 3: Cross multiply
    29,047.38x = 40,097.78 × 24,594.40
  4. Step 4: Simplify right side
    29,047.38x = 986,180,998.15
  5. Step 5: Solve for x
    x = 986,180,998.15/29,047.38
  6. Step 6: Final answer
    x = 33,950.78

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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.