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Finding the Fourth Proportional to 105,614.70, 145,748.07 and 57,869.58

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Solution

The fourth proportional to 105,614.70, 145,748.07 and 57,869.58 is: 79,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,614.70 : 145,748.07 = 57,869.58 : x
  2. Step 2: Convert to fraction form
    105,614.70/145,748.07 = 57,869.58/x
  3. Step 3: Cross multiply
    105,614.70x = 145,748.07 × 57,869.58
  4. Step 4: Simplify right side
    105,614.70x = 8,434,379,596.71
  5. Step 5: Solve for x
    x = 8,434,379,596.71/105,614.70
  6. Step 6: Final answer
    x = 79,859.90

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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.