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Finding the Fourth Proportional to 37,974, 52,404.12 and 21,207

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Solution

The fourth proportional to 37,974, 52,404.12 and 21,207 is: 29,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,974 : 52,404.12 = 21,207 : x
  2. Step 2: Convert to fraction form
    37,974/52,404.12 = 21,207/x
  3. Step 3: Cross multiply
    37,974x = 52,404.12 × 21,207
  4. Step 4: Simplify right side
    37,974x = 1,111,334,172.84
  5. Step 5: Solve for x
    x = 1,111,334,172.84/37,974
  6. Step 6: Final answer
    x = 29,265.66

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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.