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Finding the Fourth Proportional to 77,761, 107,315.04 and 44,227

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Solution

The fourth proportional to 77,761, 107,315.04 and 44,227 is: 61,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761 : 107,315.04 = 44,227 : x
  2. Step 2: Convert to fraction form
    77,761/107,315.04 = 44,227/x
  3. Step 3: Cross multiply
    77,761x = 107,315.04 × 44,227
  4. Step 4: Simplify right side
    77,761x = 4,746,222,274.08
  5. Step 5: Solve for x
    x = 4,746,222,274.08/77,761
  6. Step 6: Final answer
    x = 61,036.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.