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Finding the Fourth Proportional to 77,028.84, 115,550.69 and 20,869.65

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Solution

The fourth proportional to 77,028.84, 115,550.69 and 20,869.65 is: 31,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,028.84 : 115,550.69 = 20,869.65 : x
  2. Step 2: Convert to fraction form
    77,028.84/115,550.69 = 20,869.65/x
  3. Step 3: Cross multiply
    77,028.84x = 115,550.69 × 20,869.65
  4. Step 4: Simplify right side
    77,028.84x = 2,411,502,353.21
  5. Step 5: Solve for x
    x = 2,411,502,353.21/77,028.84
  6. Step 6: Final answer
    x = 31,306.49

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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.