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Finding the Fourth Proportional to 46,381.80, 69,448.05 and 38,161.02

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Solution

The fourth proportional to 46,381.80, 69,448.05 and 38,161.02 is: 57,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,381.80 : 69,448.05 = 38,161.02 : x
  2. Step 2: Convert to fraction form
    46,381.80/69,448.05 = 38,161.02/x
  3. Step 3: Cross multiply
    46,381.80x = 69,448.05 × 38,161.02
  4. Step 4: Simplify right side
    46,381.80x = 2,650,208,425.01
  5. Step 5: Solve for x
    x = 2,650,208,425.01/46,381.80
  6. Step 6: Final answer
    x = 57,138.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.