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Finding the Fourth Proportional to 30,671.64, 45,974.66 and 15,865.65

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Solution

The fourth proportional to 30,671.64, 45,974.66 and 15,865.65 is: 23,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.64 : 45,974.66 = 15,865.65 : x
  2. Step 2: Convert to fraction form
    30,671.64/45,974.66 = 15,865.65/x
  3. Step 3: Cross multiply
    30,671.64x = 45,974.66 × 15,865.65
  4. Step 4: Simplify right side
    30,671.64x = 729,417,785.10
  5. Step 5: Solve for x
    x = 729,417,785.10/30,671.64
  6. Step 6: Final answer
    x = 23,781.51

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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.