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Finding the Fourth Proportional to 77,898.82, 117,067.33 and 46,314.56

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Solution

The fourth proportional to 77,898.82, 117,067.33 and 46,314.56 is: 69,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,898.82 : 117,067.33 = 46,314.56 : x
  2. Step 2: Convert to fraction form
    77,898.82/117,067.33 = 46,314.56/x
  3. Step 3: Cross multiply
    77,898.82x = 117,067.33 × 46,314.56
  4. Step 4: Simplify right side
    77,898.82x = 5,421,921,293.99
  5. Step 5: Solve for x
    x = 5,421,921,293.99/77,898.82
  6. Step 6: Final answer
    x = 69,602.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.