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Finding the Fourth Proportional to 82,217, 113,460.28 and 44,492.06

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Solution

The fourth proportional to 82,217, 113,460.28 and 44,492.06 is: 61,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217 : 113,460.28 = 44,492.06 : x
  2. Step 2: Convert to fraction form
    82,217/113,460.28 = 44,492.06/x
  3. Step 3: Cross multiply
    82,217x = 113,460.28 × 44,492.06
  4. Step 4: Simplify right side
    82,217x = 5,048,081,585.38
  5. Step 5: Solve for x
    x = 5,048,081,585.38/82,217
  6. Step 6: Final answer
    x = 61,399.49

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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.