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Finding the Fourth Proportional to 62,103, 85,702.14 and 33,807

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Solution

The fourth proportional to 62,103, 85,702.14 and 33,807 is: 46,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,103 : 85,702.14 = 33,807 : x
  2. Step 2: Convert to fraction form
    62,103/85,702.14 = 33,807/x
  3. Step 3: Cross multiply
    62,103x = 85,702.14 × 33,807
  4. Step 4: Simplify right side
    62,103x = 2,897,332,246.98
  5. Step 5: Solve for x
    x = 2,897,332,246.98/62,103
  6. Step 6: Final answer
    x = 46,653.66

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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.