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Finding the Fourth Proportional to 83,315.16, 114,974.44 and 45,074.60

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Solution

The fourth proportional to 83,315.16, 114,974.44 and 45,074.60 is: 62,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315.16 : 114,974.44 = 45,074.60 : x
  2. Step 2: Convert to fraction form
    83,315.16/114,974.44 = 45,074.60/x
  3. Step 3: Cross multiply
    83,315.16x = 114,974.44 × 45,074.60
  4. Step 4: Simplify right side
    83,315.16x = 5,182,426,893.22
  5. Step 5: Solve for x
    x = 5,182,426,893.22/83,315.16
  6. Step 6: Final answer
    x = 62,202.69

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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.