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Finding the Fourth Proportional to 106,593.48, 147,096.96 and 58,845.84

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Solution

The fourth proportional to 106,593.48, 147,096.96 and 58,845.84 is: 81,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,593.48 : 147,096.96 = 58,845.84 : x
  2. Step 2: Convert to fraction form
    106,593.48/147,096.96 = 58,845.84/x
  3. Step 3: Cross multiply
    106,593.48x = 147,096.96 × 58,845.84
  4. Step 4: Simplify right side
    106,593.48x = 8,656,044,172.65
  5. Step 5: Solve for x
    x = 8,656,044,172.65/106,593.48
  6. Step 6: Final answer
    x = 81,206.13

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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.