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Finding the Fourth Proportional to 77,781.93, 116,718.26 and 32,800.56

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Solution

The fourth proportional to 77,781.93, 116,718.26 and 32,800.56 is: 49,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781.93 : 116,718.26 = 32,800.56 : x
  2. Step 2: Convert to fraction form
    77,781.93/116,718.26 = 32,800.56/x
  3. Step 3: Cross multiply
    77,781.93x = 116,718.26 × 32,800.56
  4. Step 4: Simplify right side
    77,781.93x = 3,828,424,126.22
  5. Step 5: Solve for x
    x = 3,828,424,126.22/77,781.93
  6. Step 6: Final answer
    x = 49,219.97

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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.