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Finding the Fourth Proportional to 83,220.57, 114,844.23 and 45,494.82

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Solution

The fourth proportional to 83,220.57, 114,844.23 and 45,494.82 is: 62,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220.57 : 114,844.23 = 45,494.82 : x
  2. Step 2: Convert to fraction form
    83,220.57/114,844.23 = 45,494.82/x
  3. Step 3: Cross multiply
    83,220.57x = 114,844.23 × 45,494.82
  4. Step 4: Simplify right side
    83,220.57x = 5,224,817,571.89
  5. Step 5: Solve for x
    x = 5,224,817,571.89/83,220.57
  6. Step 6: Final answer
    x = 62,782.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.