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Finding the Fourth Proportional to 46,474.40, 69,884.40 and 38,871.20

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Solution

The fourth proportional to 46,474.40, 69,884.40 and 38,871.20 is: 58,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474.40 : 69,884.40 = 38,871.20 : x
  2. Step 2: Convert to fraction form
    46,474.40/69,884.40 = 38,871.20/x
  3. Step 3: Cross multiply
    46,474.40x = 69,884.40 × 38,871.20
  4. Step 4: Simplify right side
    46,474.40x = 2,716,490,489.28
  5. Step 5: Solve for x
    x = 2,716,490,489.28/46,474.40
  6. Step 6: Final answer
    x = 58,451.33

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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.