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Finding the Fourth Proportional to 65,196.38, 97,769.06 and 23,060.18

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Solution

The fourth proportional to 65,196.38, 97,769.06 and 23,060.18 is: 34,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.38 : 97,769.06 = 23,060.18 : x
  2. Step 2: Convert to fraction form
    65,196.38/97,769.06 = 23,060.18/x
  3. Step 3: Cross multiply
    65,196.38x = 97,769.06 × 23,060.18
  4. Step 4: Simplify right side
    65,196.38x = 2,254,572,122.03
  5. Step 5: Solve for x
    x = 2,254,572,122.03/65,196.38
  6. Step 6: Final answer
    x = 34,581.25

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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.