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Finding the Fourth Proportional to 49,568.40, 74,309.40 and 29,854.80

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Solution

The fourth proportional to 49,568.40, 74,309.40 and 29,854.80 is: 44,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,568.40 : 74,309.40 = 29,854.80 : x
  2. Step 2: Convert to fraction form
    49,568.40/74,309.40 = 29,854.80/x
  3. Step 3: Cross multiply
    49,568.40x = 74,309.40 × 29,854.80
  4. Step 4: Simplify right side
    49,568.40x = 2,218,492,275.12
  5. Step 5: Solve for x
    x = 2,218,492,275.12/49,568.40
  6. Step 6: Final answer
    x = 44,756.18

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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.