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Finding the Fourth Proportional to 49,038.19, 67,674.01 and 27,820.64

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Solution

The fourth proportional to 49,038.19, 67,674.01 and 27,820.64 is: 38,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,038.19 : 67,674.01 = 27,820.64 : x
  2. Step 2: Convert to fraction form
    49,038.19/67,674.01 = 27,820.64/x
  3. Step 3: Cross multiply
    49,038.19x = 67,674.01 × 27,820.64
  4. Step 4: Simplify right side
    49,038.19x = 1,882,734,269.57
  5. Step 5: Solve for x
    x = 1,882,734,269.57/49,038.19
  6. Step 6: Final answer
    x = 38,393.23

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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.