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Finding the Fourth Proportional to 83,220.07, 114,843.70 and 45,494.32

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Solution

The fourth proportional to 83,220.07, 114,843.70 and 45,494.32 is: 62,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220.07 : 114,843.70 = 45,494.32 : x
  2. Step 2: Convert to fraction form
    83,220.07/114,843.70 = 45,494.32/x
  3. Step 3: Cross multiply
    83,220.07x = 114,843.70 × 45,494.32
  4. Step 4: Simplify right side
    83,220.07x = 5,224,735,924.05
  5. Step 5: Solve for x
    x = 5,224,735,924.05/83,220.07
  6. Step 6: Final answer
    x = 62,782.16

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