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Finding the Fourth Proportional to 78,520.23, 108,356.81 and 42,710.49

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Solution

The fourth proportional to 78,520.23, 108,356.81 and 42,710.49 is: 58,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,520.23 : 108,356.81 = 42,710.49 : x
  2. Step 2: Convert to fraction form
    78,520.23/108,356.81 = 42,710.49/x
  3. Step 3: Cross multiply
    78,520.23x = 108,356.81 × 42,710.49
  4. Step 4: Simplify right side
    78,520.23x = 4,627,972,236.38
  5. Step 5: Solve for x
    x = 4,627,972,236.38/78,520.23
  6. Step 6: Final answer
    x = 58,939.87

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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.