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Finding the Fourth Proportional to 37,121, 55,690.14 and 12,497

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Solution

The fourth proportional to 37,121, 55,690.14 and 12,497 is: 18,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,121 : 55,690.14 = 12,497 : x
  2. Step 2: Convert to fraction form
    37,121/55,690.14 = 12,497/x
  3. Step 3: Cross multiply
    37,121x = 55,690.14 × 12,497
  4. Step 4: Simplify right side
    37,121x = 695,959,679.58
  5. Step 5: Solve for x
    x = 695,959,679.58/37,121
  6. Step 6: Final answer
    x = 18,748.41

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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.