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Finding the Fourth Proportional to 35,006, 52,517.64 and 10,382

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Solution

The fourth proportional to 35,006, 52,517.64 and 10,382 is: 15,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006 : 52,517.64 = 10,382 : x
  2. Step 2: Convert to fraction form
    35,006/52,517.64 = 10,382/x
  3. Step 3: Cross multiply
    35,006x = 52,517.64 × 10,382
  4. Step 4: Simplify right side
    35,006x = 545,238,138.48
  5. Step 5: Solve for x
    x = 545,238,138.48/35,006
  6. Step 6: Final answer
    x = 15,575.56

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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.