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Finding the Fourth Proportional to 37,090, 51,184.26 and 20,323

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Solution

The fourth proportional to 37,090, 51,184.26 and 20,323 is: 28,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090 : 51,184.26 = 20,323 : x
  2. Step 2: Convert to fraction form
    37,090/51,184.26 = 20,323/x
  3. Step 3: Cross multiply
    37,090x = 51,184.26 × 20,323
  4. Step 4: Simplify right side
    37,090x = 1,040,217,715.98
  5. Step 5: Solve for x
    x = 1,040,217,715.98/37,090
  6. Step 6: Final answer
    x = 28,045.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.