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Finding the Fourth Proportional to 61,310, 91,965 and 17,534

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Solution

The fourth proportional to 61,310, 91,965 and 17,534 is: 26,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,310 : 91,965 = 17,534 : x
  2. Step 2: Convert to fraction form
    61,310/91,965 = 17,534/x
  3. Step 3: Cross multiply
    61,310x = 91,965 × 17,534
  4. Step 4: Simplify right side
    61,310x = 1,612,514,310
  5. Step 5: Solve for x
    x = 1,612,514,310/61,310
  6. Step 6: Final answer
    x = 26,301

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.