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Finding the Fourth Proportional to 70,502.31, 105,752.07 and 17,194.48

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Solution

The fourth proportional to 70,502.31, 105,752.07 and 17,194.48 is: 25,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.31 : 105,752.07 = 17,194.48 : x
  2. Step 2: Convert to fraction form
    70,502.31/105,752.07 = 17,194.48/x
  3. Step 3: Cross multiply
    70,502.31x = 105,752.07 × 17,194.48
  4. Step 4: Simplify right side
    70,502.31x = 1,818,351,588.19
  5. Step 5: Solve for x
    x = 1,818,351,588.19/70,502.31
  6. Step 6: Final answer
    x = 25,791.38

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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.