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Finding the Fourth Proportional to 83,057, 114,621.82 and 47,250.28

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Solution

The fourth proportional to 83,057, 114,621.82 and 47,250.28 is: 65,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057 : 114,621.82 = 47,250.28 : x
  2. Step 2: Convert to fraction form
    83,057/114,621.82 = 47,250.28/x
  3. Step 3: Cross multiply
    83,057x = 114,621.82 × 47,250.28
  4. Step 4: Simplify right side
    83,057x = 5,415,913,089.11
  5. Step 5: Solve for x
    x = 5,415,913,089.11/83,057
  6. Step 6: Final answer
    x = 65,207.18

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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.