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Finding the Fourth Proportional to 37,184.46, 55,681.60 and 20,526

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Solution

The fourth proportional to 37,184.46, 55,681.60 and 20,526 is: 30,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.46 : 55,681.60 = 20,526 : x
  2. Step 2: Convert to fraction form
    37,184.46/55,681.60 = 20,526/x
  3. Step 3: Cross multiply
    37,184.46x = 55,681.60 × 20,526
  4. Step 4: Simplify right side
    37,184.46x = 1,142,920,521.60
  5. Step 5: Solve for x
    x = 1,142,920,521.60/37,184.46
  6. Step 6: Final answer
    x = 30,736.51

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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.