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Finding the Fourth Proportional to 78,071.38, 107,738.51 and 42,261.68

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Solution

The fourth proportional to 78,071.38, 107,738.51 and 42,261.68 is: 58,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,071.38 : 107,738.51 = 42,261.68 : x
  2. Step 2: Convert to fraction form
    78,071.38/107,738.51 = 42,261.68/x
  3. Step 3: Cross multiply
    78,071.38x = 107,738.51 × 42,261.68
  4. Step 4: Simplify right side
    78,071.38x = 4,553,210,491.33
  5. Step 5: Solve for x
    x = 4,553,210,491.33/78,071.38
  6. Step 6: Final answer
    x = 58,321.12

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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.