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Finding the Fourth Proportional to 65,196.93, 89,974.12 and 37,971.05

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Solution

The fourth proportional to 65,196.93, 89,974.12 and 37,971.05 is: 52,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.93 : 89,974.12 = 37,971.05 : x
  2. Step 2: Convert to fraction form
    65,196.93/89,974.12 = 37,971.05/x
  3. Step 3: Cross multiply
    65,196.93x = 89,974.12 × 37,971.05
  4. Step 4: Simplify right side
    65,196.93x = 3,416,411,809.23
  5. Step 5: Solve for x
    x = 3,416,411,809.23/65,196.93
  6. Step 6: Final answer
    x = 52,401.42

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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.