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Finding the Fourth Proportional to 125,381.16, 188,072.94 and 31,886.88

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Solution

The fourth proportional to 125,381.16, 188,072.94 and 31,886.88 is: 47,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,381.16 : 188,072.94 = 31,886.88 : x
  2. Step 2: Convert to fraction form
    125,381.16/188,072.94 = 31,886.88/x
  3. Step 3: Cross multiply
    125,381.16x = 188,072.94 × 31,886.88
  4. Step 4: Simplify right side
    125,381.16x = 5,997,059,269.03
  5. Step 5: Solve for x
    x = 5,997,059,269.03/125,381.16
  6. Step 6: Final answer
    x = 47,830.63

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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.