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Finding the Fourth Proportional to 125,362.16, 188,043.65 and 31,867.91

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Solution

The fourth proportional to 125,362.16, 188,043.65 and 31,867.91 is: 47,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,362.16 : 188,043.65 = 31,867.91 : x
  2. Step 2: Convert to fraction form
    125,362.16/188,043.65 = 31,867.91/x
  3. Step 3: Cross multiply
    125,362.16x = 188,043.65 × 31,867.91
  4. Step 4: Simplify right side
    125,362.16x = 5,992,557,014.71
  5. Step 5: Solve for x
    x = 5,992,557,014.71/125,362.16
  6. Step 6: Final answer
    x = 47,801.96

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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.