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Finding the Fourth Proportional to 35,277, 52,915.50 and 10,653

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Solution

The fourth proportional to 35,277, 52,915.50 and 10,653 is: 15,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,277 : 52,915.50 = 10,653 : x
  2. Step 2: Convert to fraction form
    35,277/52,915.50 = 10,653/x
  3. Step 3: Cross multiply
    35,277x = 52,915.50 × 10,653
  4. Step 4: Simplify right side
    35,277x = 563,708,821.50
  5. Step 5: Solve for x
    x = 563,708,821.50/35,277
  6. Step 6: Final answer
    x = 15,979.50

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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.