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Finding the Fourth Proportional to 65,180.16, 97,768.14 and 20,809.62

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Solution

The fourth proportional to 65,180.16, 97,768.14 and 20,809.62 is: 31,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.16 : 97,768.14 = 20,809.62 : x
  2. Step 2: Convert to fraction form
    65,180.16/97,768.14 = 20,809.62/x
  3. Step 3: Cross multiply
    65,180.16x = 97,768.14 × 20,809.62
  4. Step 4: Simplify right side
    65,180.16x = 2,034,517,841.51
  5. Step 5: Solve for x
    x = 2,034,517,841.51/65,180.16
  6. Step 6: Final answer
    x = 31,213.76

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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.