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Finding the Fourth Proportional to 77,873.25, 116,824.47 and 36,320.25

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Solution

The fourth proportional to 77,873.25, 116,824.47 and 36,320.25 is: 54,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,873.25 : 116,824.47 = 36,320.25 : x
  2. Step 2: Convert to fraction form
    77,873.25/116,824.47 = 36,320.25/x
  3. Step 3: Cross multiply
    77,873.25x = 116,824.47 × 36,320.25
  4. Step 4: Simplify right side
    77,873.25x = 4,243,093,956.52
  5. Step 5: Solve for x
    x = 4,243,093,956.52/77,873.25
  6. Step 6: Final answer
    x = 54,487.18

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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.