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Finding the Fourth Proportional to 61,569, 84,965.24 and 35,073

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Solution

The fourth proportional to 61,569, 84,965.24 and 35,073 is: 48,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,569 : 84,965.24 = 35,073 : x
  2. Step 2: Convert to fraction form
    61,569/84,965.24 = 35,073/x
  3. Step 3: Cross multiply
    61,569x = 84,965.24 × 35,073
  4. Step 4: Simplify right side
    61,569x = 2,979,985,862.52
  5. Step 5: Solve for x
    x = 2,979,985,862.52/61,569
  6. Step 6: Final answer
    x = 48,400.75

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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.