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Finding the Fourth Proportional to 105,015.38, 144,924.86 and 59,695.26

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Solution

The fourth proportional to 105,015.38, 144,924.86 and 59,695.26 is: 82,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,015.38 : 144,924.86 = 59,695.26 : x
  2. Step 2: Convert to fraction form
    105,015.38/144,924.86 = 59,695.26/x
  3. Step 3: Cross multiply
    105,015.38x = 144,924.86 × 59,695.26
  4. Step 4: Simplify right side
    105,015.38x = 8,651,327,198.16
  5. Step 5: Solve for x
    x = 8,651,327,198.16/105,015.38
  6. Step 6: Final answer
    x = 82,381.53

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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.