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Finding the Fourth Proportional to 86,646, 129,949.02 and 27,470.64

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Solution

The fourth proportional to 86,646, 129,949.02 and 27,470.64 is: 41,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,646 : 129,949.02 = 27,470.64 : x
  2. Step 2: Convert to fraction form
    86,646/129,949.02 = 27,470.64/x
  3. Step 3: Cross multiply
    86,646x = 129,949.02 × 27,470.64
  4. Step 4: Simplify right side
    86,646x = 3,569,782,746.77
  5. Step 5: Solve for x
    x = 3,569,782,746.77/86,646
  6. Step 6: Final answer
    x = 41,199.63

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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.