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Finding the Fourth Proportional to 77,971.55, 107,600.67 and 42,161.48

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Solution

The fourth proportional to 77,971.55, 107,600.67 and 42,161.48 is: 58,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.55 : 107,600.67 = 42,161.48 : x
  2. Step 2: Convert to fraction form
    77,971.55/107,600.67 = 42,161.48/x
  3. Step 3: Cross multiply
    77,971.55x = 107,600.67 × 42,161.48
  4. Step 4: Simplify right side
    77,971.55x = 4,536,602,747.38
  5. Step 5: Solve for x
    x = 4,536,602,747.38/77,971.55
  6. Step 6: Final answer
    x = 58,182.80

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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.