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Finding the Fourth Proportional to 65,192.64, 97,806.72 and 27,754.56

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Solution

The fourth proportional to 65,192.64, 97,806.72 and 27,754.56 is: 41,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,192.64 : 97,806.72 = 27,754.56 : x
  2. Step 2: Convert to fraction form
    65,192.64/97,806.72 = 27,754.56/x
  3. Step 3: Cross multiply
    65,192.64x = 97,806.72 × 27,754.56
  4. Step 4: Simplify right side
    65,192.64x = 2,714,582,478.64
  5. Step 5: Solve for x
    x = 2,714,582,478.64/65,192.64
  6. Step 6: Final answer
    x = 41,639.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.