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Finding the Fourth Proportional to 37,290, 55,942.68 and 15,402

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Solution

The fourth proportional to 37,290, 55,942.68 and 15,402 is: 23,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,290 : 55,942.68 = 15,402 : x
  2. Step 2: Convert to fraction form
    37,290/55,942.68 = 15,402/x
  3. Step 3: Cross multiply
    37,290x = 55,942.68 × 15,402
  4. Step 4: Simplify right side
    37,290x = 861,629,157.36
  5. Step 5: Solve for x
    x = 861,629,157.36/37,290
  6. Step 6: Final answer
    x = 23,106.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.