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Finding the Fourth Proportional to 68,047.21, 102,101.19 and 34,749.73

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Solution

The fourth proportional to 68,047.21, 102,101.19 and 34,749.73 is: 52,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.21 : 102,101.19 = 34,749.73 : x
  2. Step 2: Convert to fraction form
    68,047.21/102,101.19 = 34,749.73/x
  3. Step 3: Cross multiply
    68,047.21x = 102,101.19 × 34,749.73
  4. Step 4: Simplify right side
    68,047.21x = 3,547,988,785.18
  5. Step 5: Solve for x
    x = 3,547,988,785.18/68,047.21
  6. Step 6: Final answer
    x = 52,140.11

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Why These Related Problems?

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