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Finding the Fourth Proportional to 125,210.82, 187,823.07 and 31,717.38

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Solution

The fourth proportional to 125,210.82, 187,823.07 and 31,717.38 is: 47,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,210.82 : 187,823.07 = 31,717.38 : x
  2. Step 2: Convert to fraction form
    125,210.82/187,823.07 = 31,717.38/x
  3. Step 3: Cross multiply
    125,210.82x = 187,823.07 × 31,717.38
  4. Step 4: Simplify right side
    125,210.82x = 5,957,255,683.96
  5. Step 5: Solve for x
    x = 5,957,255,683.96/125,210.82
  6. Step 6: Final answer
    x = 47,577.80

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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.