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Finding the Fourth Proportional to 31,055.73, 46,585.39 and 8,867.40

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Solution

The fourth proportional to 31,055.73, 46,585.39 and 8,867.40 is: 13,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.73 : 46,585.39 = 8,867.40 : x
  2. Step 2: Convert to fraction form
    31,055.73/46,585.39 = 8,867.40/x
  3. Step 3: Cross multiply
    31,055.73x = 46,585.39 × 8,867.40
  4. Step 4: Simplify right side
    31,055.73x = 413,091,265.12
  5. Step 5: Solve for x
    x = 413,091,265.12/31,055.73
  6. Step 6: Final answer
    x = 13,301.61

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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.