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Finding the Fourth Proportional to 103,293.28, 142,542.86 and 57,967.71

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Solution

The fourth proportional to 103,293.28, 142,542.86 and 57,967.71 is: 79,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,293.28 : 142,542.86 = 57,967.71 : x
  2. Step 2: Convert to fraction form
    103,293.28/142,542.86 = 57,967.71/x
  3. Step 3: Cross multiply
    103,293.28x = 142,542.86 × 57,967.71
  4. Step 4: Simplify right side
    103,293.28x = 8,262,882,346.68
  5. Step 5: Solve for x
    x = 8,262,882,346.68/103,293.28
  6. Step 6: Final answer
    x = 79,994.38

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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.