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Finding the Fourth Proportional to 37,322.94, 55,992.32 and 12,361.68

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Solution

The fourth proportional to 37,322.94, 55,992.32 and 12,361.68 is: 18,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,322.94 : 55,992.32 = 12,361.68 : x
  2. Step 2: Convert to fraction form
    37,322.94/55,992.32 = 12,361.68/x
  3. Step 3: Cross multiply
    37,322.94x = 55,992.32 × 12,361.68
  4. Step 4: Simplify right side
    37,322.94x = 692,159,080.49
  5. Step 5: Solve for x
    x = 692,159,080.49/37,322.94
  6. Step 6: Final answer
    x = 18,545.14

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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.