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Finding the Fourth Proportional to 77,328.42, 106,764.62 and 59,391.38

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Solution

The fourth proportional to 77,328.42, 106,764.62 and 59,391.38 is: 81,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,328.42 : 106,764.62 = 59,391.38 : x
  2. Step 2: Convert to fraction form
    77,328.42/106,764.62 = 59,391.38/x
  3. Step 3: Cross multiply
    77,328.42x = 106,764.62 × 59,391.38
  4. Step 4: Simplify right side
    77,328.42x = 6,340,897,286.20
  5. Step 5: Solve for x
    x = 6,340,897,286.20/77,328.42
  6. Step 6: Final answer
    x = 81,999.57

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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.