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Finding the Fourth Proportional to 82,943.28, 114,462.48 and 45,218.34

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Solution

The fourth proportional to 82,943.28, 114,462.48 and 45,218.34 is: 62,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,943.28 : 114,462.48 = 45,218.34 : x
  2. Step 2: Convert to fraction form
    82,943.28/114,462.48 = 45,218.34/x
  3. Step 3: Cross multiply
    82,943.28x = 114,462.48 × 45,218.34
  4. Step 4: Simplify right side
    82,943.28x = 5,175,803,337.88
  5. Step 5: Solve for x
    x = 5,175,803,337.88/82,943.28
  6. Step 6: Final answer
    x = 62,401.72

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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.