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Finding the Fourth Proportional to 86,007.32, 129,060.82 and 36,083

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Solution

The fourth proportional to 86,007.32, 129,060.82 and 36,083 is: 54,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,007.32 : 129,060.82 = 36,083 : x
  2. Step 2: Convert to fraction form
    86,007.32/129,060.82 = 36,083/x
  3. Step 3: Cross multiply
    86,007.32x = 129,060.82 × 36,083
  4. Step 4: Simplify right side
    86,007.32x = 4,656,901,568.06
  5. Step 5: Solve for x
    x = 4,656,901,568.06/86,007.32
  6. Step 6: Final answer
    x = 54,145.41

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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.