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Finding the Fourth Proportional to 61,697, 85,141.86 and 35,201

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Solution

The fourth proportional to 61,697, 85,141.86 and 35,201 is: 48,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,697 : 85,141.86 = 35,201 : x
  2. Step 2: Convert to fraction form
    61,697/85,141.86 = 35,201/x
  3. Step 3: Cross multiply
    61,697x = 85,141.86 × 35,201
  4. Step 4: Simplify right side
    61,697x = 2,997,078,613.86
  5. Step 5: Solve for x
    x = 2,997,078,613.86/61,697
  6. Step 6: Final answer
    x = 48,577.38

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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.