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Finding the Fourth Proportional to 35,236, 52,854 and 8,940.88

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Solution

The fourth proportional to 35,236, 52,854 and 8,940.88 is: 13,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,236 : 52,854 = 8,940.88 : x
  2. Step 2: Convert to fraction form
    35,236/52,854 = 8,940.88/x
  3. Step 3: Cross multiply
    35,236x = 52,854 × 8,940.88
  4. Step 4: Simplify right side
    35,236x = 472,561,271.52
  5. Step 5: Solve for x
    x = 472,561,271.52/35,236
  6. Step 6: Final answer
    x = 13,411.32

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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.