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Finding the Fourth Proportional to 78,189.41, 107,901.57 and 42,379.38

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Solution

The fourth proportional to 78,189.41, 107,901.57 and 42,379.38 is: 58,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.41 : 107,901.57 = 42,379.38 : x
  2. Step 2: Convert to fraction form
    78,189.41/107,901.57 = 42,379.38/x
  3. Step 3: Cross multiply
    78,189.41x = 107,901.57 × 42,379.38
  4. Step 4: Simplify right side
    78,189.41x = 4,572,801,637.63
  5. Step 5: Solve for x
    x = 4,572,801,637.63/78,189.41
  6. Step 6: Final answer
    x = 58,483.65

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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.