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Finding the Fourth Proportional to 37,284, 55,933.68 and 15,396

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Solution

The fourth proportional to 37,284, 55,933.68 and 15,396 is: 23,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,284 : 55,933.68 = 15,396 : x
  2. Step 2: Convert to fraction form
    37,284/55,933.68 = 15,396/x
  3. Step 3: Cross multiply
    37,284x = 55,933.68 × 15,396
  4. Step 4: Simplify right side
    37,284x = 861,154,937.28
  5. Step 5: Solve for x
    x = 861,154,937.28/37,284
  6. Step 6: Final answer
    x = 23,097.17

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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.