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Finding the Fourth Proportional to 62,206.34, 85,841.52 and 35,345.12

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Solution

The fourth proportional to 62,206.34, 85,841.52 and 35,345.12 is: 48,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,206.34 : 85,841.52 = 35,345.12 : x
  2. Step 2: Convert to fraction form
    62,206.34/85,841.52 = 35,345.12/x
  3. Step 3: Cross multiply
    62,206.34x = 85,841.52 × 35,345.12
  4. Step 4: Simplify right side
    62,206.34x = 3,034,078,825.38
  5. Step 5: Solve for x
    x = 3,034,078,825.38/62,206.34
  6. Step 6: Final answer
    x = 48,774.43

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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.