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Finding the Fourth Proportional to 49,674.60, 74,414.70 and 29,894.40

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Solution

The fourth proportional to 49,674.60, 74,414.70 and 29,894.40 is: 44,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674.60 : 74,414.70 = 29,894.40 : x
  2. Step 2: Convert to fraction form
    49,674.60/74,414.70 = 29,894.40/x
  3. Step 3: Cross multiply
    49,674.60x = 74,414.70 × 29,894.40
  4. Step 4: Simplify right side
    49,674.60x = 2,224,582,807.68
  5. Step 5: Solve for x
    x = 2,224,582,807.68/49,674.60
  6. Step 6: Final answer
    x = 44,783.10

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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.