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Finding the Fourth Proportional to 61,567, 84,962.48 and 35,071

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Solution

The fourth proportional to 61,567, 84,962.48 and 35,071 is: 48,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,567 : 84,962.48 = 35,071 : x
  2. Step 2: Convert to fraction form
    61,567/84,962.48 = 35,071/x
  3. Step 3: Cross multiply
    61,567x = 84,962.48 × 35,071
  4. Step 4: Simplify right side
    61,567x = 2,979,719,136.08
  5. Step 5: Solve for x
    x = 2,979,719,136.08/61,567
  6. Step 6: Final answer
    x = 48,397.99

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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.