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Finding the Fourth Proportional to 77,559.30, 107,041.91 and 47,338.34

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Solution

The fourth proportional to 77,559.30, 107,041.91 and 47,338.34 is: 65,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,559.30 : 107,041.91 = 47,338.34 : x
  2. Step 2: Convert to fraction form
    77,559.30/107,041.91 = 47,338.34/x
  3. Step 3: Cross multiply
    77,559.30x = 107,041.91 × 47,338.34
  4. Step 4: Simplify right side
    77,559.30x = 5,067,185,557.93
  5. Step 5: Solve for x
    x = 5,067,185,557.93/77,559.30
  6. Step 6: Final answer
    x = 65,333.05

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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.