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Finding the Fourth Proportional to 37,971.84, 52,401.28 and 21,205.12

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Solution

The fourth proportional to 37,971.84, 52,401.28 and 21,205.12 is: 29,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971.84 : 52,401.28 = 21,205.12 : x
  2. Step 2: Convert to fraction form
    37,971.84/52,401.28 = 21,205.12/x
  3. Step 3: Cross multiply
    37,971.84x = 52,401.28 × 21,205.12
  4. Step 4: Simplify right side
    37,971.84x = 1,111,175,430.55
  5. Step 5: Solve for x
    x = 1,111,175,430.55/37,971.84
  6. Step 6: Final answer
    x = 29,263.14

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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.