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Finding the Fourth Proportional to 46,473.57, 69,671.13 and 20,158.47

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Solution

The fourth proportional to 46,473.57, 69,671.13 and 20,158.47 is: 30,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,473.57 : 69,671.13 = 20,158.47 : x
  2. Step 2: Convert to fraction form
    46,473.57/69,671.13 = 20,158.47/x
  3. Step 3: Cross multiply
    46,473.57x = 69,671.13 × 20,158.47
  4. Step 4: Simplify right side
    46,473.57x = 1,404,463,383.97
  5. Step 5: Solve for x
    x = 1,404,463,383.97/46,473.57
  6. Step 6: Final answer
    x = 30,220.69

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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.