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Finding the Fourth Proportional to 83,514.60, 125,271.09 and 21,185.10

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Solution

The fourth proportional to 83,514.60, 125,271.09 and 21,185.10 is: 31,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514.60 : 125,271.09 = 21,185.10 : x
  2. Step 2: Convert to fraction form
    83,514.60/125,271.09 = 21,185.10/x
  3. Step 3: Cross multiply
    83,514.60x = 125,271.09 × 21,185.10
  4. Step 4: Simplify right side
    83,514.60x = 2,653,880,568.76
  5. Step 5: Solve for x
    x = 2,653,880,568.76/83,514.60
  6. Step 6: Final answer
    x = 31,777.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.