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Finding the Fourth Proportional to 105,703.38, 145,871.82 and 57,955.68

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Solution

The fourth proportional to 105,703.38, 145,871.82 and 57,955.68 is: 79,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,703.38 : 145,871.82 = 57,955.68 : x
  2. Step 2: Convert to fraction form
    105,703.38/145,871.82 = 57,955.68/x
  3. Step 3: Cross multiply
    105,703.38x = 145,871.82 × 57,955.68
  4. Step 4: Simplify right side
    105,703.38x = 8,454,100,520.94
  5. Step 5: Solve for x
    x = 8,454,100,520.94/105,703.38
  6. Step 6: Final answer
    x = 79,979.47

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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.