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Finding the Fourth Proportional to 107,315.84, 161,006.72 and 51,227.52

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Solution

The fourth proportional to 107,315.84, 161,006.72 and 51,227.52 is: 76,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,315.84 : 161,006.72 = 51,227.52 : x
  2. Step 2: Convert to fraction form
    107,315.84/161,006.72 = 51,227.52/x
  3. Step 3: Cross multiply
    107,315.84x = 161,006.72 × 51,227.52
  4. Step 4: Simplify right side
    107,315.84x = 8,247,974,968.93
  5. Step 5: Solve for x
    x = 8,247,974,968.93/107,315.84
  6. Step 6: Final answer
    x = 76,857.01

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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.