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Finding the Fourth Proportional to 65,697.62, 98,501.46 and 23,576.76

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Solution

The fourth proportional to 65,697.62, 98,501.46 and 23,576.76 is: 35,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,697.62 : 98,501.46 = 23,576.76 : x
  2. Step 2: Convert to fraction form
    65,697.62/98,501.46 = 23,576.76/x
  3. Step 3: Cross multiply
    65,697.62x = 98,501.46 × 23,576.76
  4. Step 4: Simplify right side
    65,697.62x = 2,322,345,282.07
  5. Step 5: Solve for x
    x = 2,322,345,282.07/65,697.62
  6. Step 6: Final answer
    x = 35,349.00

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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.