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Finding the Fourth Proportional to 125,394.66, 188,093.07 and 31,900.50

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Solution

The fourth proportional to 125,394.66, 188,093.07 and 31,900.50 is: 47,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,394.66 : 188,093.07 = 31,900.50 : x
  2. Step 2: Convert to fraction form
    125,394.66/188,093.07 = 31,900.50/x
  3. Step 3: Cross multiply
    125,394.66x = 188,093.07 × 31,900.50
  4. Step 4: Simplify right side
    125,394.66x = 6,000,262,979.54
  5. Step 5: Solve for x
    x = 6,000,262,979.54/125,394.66
  6. Step 6: Final answer
    x = 47,851.02

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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.