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Finding the Fourth Proportional to 35,282, 52,923 and 10,658

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Solution

The fourth proportional to 35,282, 52,923 and 10,658 is: 15,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,282 : 52,923 = 10,658 : x
  2. Step 2: Convert to fraction form
    35,282/52,923 = 10,658/x
  3. Step 3: Cross multiply
    35,282x = 52,923 × 10,658
  4. Step 4: Simplify right side
    35,282x = 564,053,334
  5. Step 5: Solve for x
    x = 564,053,334/35,282
  6. Step 6: Final answer
    x = 15,987

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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.