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Finding the Fourth Proportional to 65,399.64, 97,951.80 and 30,265.56

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Solution

The fourth proportional to 65,399.64, 97,951.80 and 30,265.56 is: 45,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,399.64 : 97,951.80 = 30,265.56 : x
  2. Step 2: Convert to fraction form
    65,399.64/97,951.80 = 30,265.56/x
  3. Step 3: Cross multiply
    65,399.64x = 97,951.80 × 30,265.56
  4. Step 4: Simplify right side
    65,399.64x = 2,964,566,080.01
  5. Step 5: Solve for x
    x = 2,964,566,080.01/65,399.64
  6. Step 6: Final answer
    x = 45,330.01

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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.