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Finding the Fourth Proportional to 40,996, 61,494 and 13,294

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Solution

The fourth proportional to 40,996, 61,494 and 13,294 is: 19,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,996 : 61,494 = 13,294 : x
  2. Step 2: Convert to fraction form
    40,996/61,494 = 13,294/x
  3. Step 3: Cross multiply
    40,996x = 61,494 × 13,294
  4. Step 4: Simplify right side
    40,996x = 817,501,236
  5. Step 5: Solve for x
    x = 817,501,236/40,996
  6. Step 6: Final answer
    x = 19,941

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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.