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Finding the Fourth Proportional to 77,084.86, 106,394.22 and 46,863.76

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Solution

The fourth proportional to 77,084.86, 106,394.22 and 46,863.76 is: 64,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084.86 : 106,394.22 = 46,863.76 : x
  2. Step 2: Convert to fraction form
    77,084.86/106,394.22 = 46,863.76/x
  3. Step 3: Cross multiply
    77,084.86x = 106,394.22 × 46,863.76
  4. Step 4: Simplify right side
    77,084.86x = 4,986,033,191.47
  5. Step 5: Solve for x
    x = 4,986,033,191.47/77,084.86
  6. Step 6: Final answer
    x = 64,682.39

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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.