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Finding the Fourth Proportional to 35,952, 53,936.64 and 11,328

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Solution

The fourth proportional to 35,952, 53,936.64 and 11,328 is: 16,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952 : 53,936.64 = 11,328 : x
  2. Step 2: Convert to fraction form
    35,952/53,936.64 = 11,328/x
  3. Step 3: Cross multiply
    35,952x = 53,936.64 × 11,328
  4. Step 4: Simplify right side
    35,952x = 610,994,257.92
  5. Step 5: Solve for x
    x = 610,994,257.92/35,952
  6. Step 6: Final answer
    x = 16,994.72

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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.