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Finding the Fourth Proportional to 77,807.57, 116,726.65 and 27,874.22

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Solution

The fourth proportional to 77,807.57, 116,726.65 and 27,874.22 is: 41,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.57 : 116,726.65 = 27,874.22 : x
  2. Step 2: Convert to fraction form
    77,807.57/116,726.65 = 27,874.22/x
  3. Step 3: Cross multiply
    77,807.57x = 116,726.65 × 27,874.22
  4. Step 4: Simplify right side
    77,807.57x = 3,253,663,738.33
  5. Step 5: Solve for x
    x = 3,253,663,738.33/77,807.57
  6. Step 6: Final answer
    x = 41,816.80

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1.5x scale

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.