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Finding the Fourth Proportional to 86,631.88, 129,870.06 and 31,189

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Solution

The fourth proportional to 86,631.88, 129,870.06 and 31,189 is: 46,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,631.88 : 129,870.06 = 31,189 : x
  2. Step 2: Convert to fraction form
    86,631.88/129,870.06 = 31,189/x
  3. Step 3: Cross multiply
    86,631.88x = 129,870.06 × 31,189
  4. Step 4: Simplify right side
    86,631.88x = 4,050,517,301.34
  5. Step 5: Solve for x
    x = 4,050,517,301.34/86,631.88
  6. Step 6: Final answer
    x = 46,755.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.