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Finding the Fourth Proportional to 73,710.99, 110,578.02 and 31,590.57

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Solution

The fourth proportional to 73,710.99, 110,578.02 and 31,590.57 is: 47,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,710.99 : 110,578.02 = 31,590.57 : x
  2. Step 2: Convert to fraction form
    73,710.99/110,578.02 = 31,590.57/x
  3. Step 3: Cross multiply
    73,710.99x = 110,578.02 × 31,590.57
  4. Step 4: Simplify right side
    73,710.99x = 3,493,222,681.27
  5. Step 5: Solve for x
    x = 3,493,222,681.27/73,710.99
  6. Step 6: Final answer
    x = 47,390.80

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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.