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Finding the Fourth Proportional to 37,302, 55,953 and 11,006.37

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Solution

The fourth proportional to 37,302, 55,953 and 11,006.37 is: 16,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,302 : 55,953 = 11,006.37 : x
  2. Step 2: Convert to fraction form
    37,302/55,953 = 11,006.37/x
  3. Step 3: Cross multiply
    37,302x = 55,953 × 11,006.37
  4. Step 4: Simplify right side
    37,302x = 615,839,420.61
  5. Step 5: Solve for x
    x = 615,839,420.61/37,302
  6. Step 6: Final answer
    x = 16,509.56

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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.