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Finding the Fourth Proportional to 77,051.80, 115,578.14 and 23,743.08

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Solution

The fourth proportional to 77,051.80, 115,578.14 and 23,743.08 is: 35,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,051.80 : 115,578.14 = 23,743.08 : x
  2. Step 2: Convert to fraction form
    77,051.80/115,578.14 = 23,743.08/x
  3. Step 3: Cross multiply
    77,051.80x = 115,578.14 × 23,743.08
  4. Step 4: Simplify right side
    77,051.80x = 2,744,181,024.27
  5. Step 5: Solve for x
    x = 2,744,181,024.27/77,051.80
  6. Step 6: Final answer
    x = 35,614.76

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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.