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Finding the Fourth Proportional to 77,158.95, 106,469.01 and 44,884.77

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Solution

The fourth proportional to 77,158.95, 106,469.01 and 44,884.77 is: 61,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,158.95 : 106,469.01 = 44,884.77 : x
  2. Step 2: Convert to fraction form
    77,158.95/106,469.01 = 44,884.77/x
  3. Step 3: Cross multiply
    77,158.95x = 106,469.01 × 44,884.77
  4. Step 4: Simplify right side
    77,158.95x = 4,778,837,025.98
  5. Step 5: Solve for x
    x = 4,778,837,025.98/77,158.95
  6. Step 6: Final answer
    x = 61,934.97

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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.