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Finding the Fourth Proportional to 105,073.96, 157,686.65 and 41,857.49

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Solution

The fourth proportional to 105,073.96, 157,686.65 and 41,857.49 is: 62,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,073.96 : 157,686.65 = 41,857.49 : x
  2. Step 2: Convert to fraction form
    105,073.96/157,686.65 = 41,857.49/x
  3. Step 3: Cross multiply
    105,073.96x = 157,686.65 × 41,857.49
  4. Step 4: Simplify right side
    105,073.96x = 6,600,367,375.51
  5. Step 5: Solve for x
    x = 6,600,367,375.51/105,073.96
  6. Step 6: Final answer
    x = 62,816.39

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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.