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Finding the Fourth Proportional to 35,554, 53,339.64 and 10,930

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Solution

The fourth proportional to 35,554, 53,339.64 and 10,930 is: 16,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,554 : 53,339.64 = 10,930 : x
  2. Step 2: Convert to fraction form
    35,554/53,339.64 = 10,930/x
  3. Step 3: Cross multiply
    35,554x = 53,339.64 × 10,930
  4. Step 4: Simplify right side
    35,554x = 583,002,265.20
  5. Step 5: Solve for x
    x = 583,002,265.20/35,554
  6. Step 6: Final answer
    x = 16,397.66

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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.