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Finding the Fourth Proportional to 82,863.84, 114,353.28 and 45,138

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Solution

The fourth proportional to 82,863.84, 114,353.28 and 45,138 is: 62,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.84 : 114,353.28 = 45,138 : x
  2. Step 2: Convert to fraction form
    82,863.84/114,353.28 = 45,138/x
  3. Step 3: Cross multiply
    82,863.84x = 114,353.28 × 45,138
  4. Step 4: Simplify right side
    82,863.84x = 5,161,678,352.64
  5. Step 5: Solve for x
    x = 5,161,678,352.64/82,863.84
  6. Step 6: Final answer
    x = 62,291.08

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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.