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Finding the Fourth Proportional to 62,071, 85,643.04 and 36,578.40

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Solution

The fourth proportional to 62,071, 85,643.04 and 36,578.40 is: 50,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,071 : 85,643.04 = 36,578.40 : x
  2. Step 2: Convert to fraction form
    62,071/85,643.04 = 36,578.40/x
  3. Step 3: Cross multiply
    62,071x = 85,643.04 × 36,578.40
  4. Step 4: Simplify right side
    62,071x = 3,132,685,374.34
  5. Step 5: Solve for x
    x = 3,132,685,374.34/62,071
  6. Step 6: Final answer
    x = 50,469.39

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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.