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Finding the Fourth Proportional to 37,098, 55,650.24 and 9,396

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Solution

The fourth proportional to 37,098, 55,650.24 and 9,396 is: 14,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 55,650.24 = 9,396 : x
  2. Step 2: Convert to fraction form
    37,098/55,650.24 = 9,396/x
  3. Step 3: Cross multiply
    37,098x = 55,650.24 × 9,396
  4. Step 4: Simplify right side
    37,098x = 522,889,655.04
  5. Step 5: Solve for x
    x = 522,889,655.04/37,098
  6. Step 6: Final answer
    x = 14,094.82

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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.