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Finding the Fourth Proportional to 86,546.74, 129,824.84 and 27,378.01

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Solution

The fourth proportional to 86,546.74, 129,824.84 and 27,378.01 is: 41,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,546.74 : 129,824.84 = 27,378.01 : x
  2. Step 2: Convert to fraction form
    86,546.74/129,824.84 = 27,378.01/x
  3. Step 3: Cross multiply
    86,546.74x = 129,824.84 × 27,378.01
  4. Step 4: Simplify right side
    86,546.74x = 3,554,345,767.77
  5. Step 5: Solve for x
    x = 3,554,345,767.77/86,546.74
  6. Step 6: Final answer
    x = 41,068.51

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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.