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Finding the Fourth Proportional to 34,560, 47,694.96 and 19,656

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Solution

The fourth proportional to 34,560, 47,694.96 and 19,656 is: 27,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560 : 47,694.96 = 19,656 : x
  2. Step 2: Convert to fraction form
    34,560/47,694.96 = 19,656/x
  3. Step 3: Cross multiply
    34,560x = 47,694.96 × 19,656
  4. Step 4: Simplify right side
    34,560x = 937,492,133.76
  5. Step 5: Solve for x
    x = 937,492,133.76/34,560
  6. Step 6: Final answer
    x = 27,126.51

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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.