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Finding the Fourth Proportional to 65,066.64, 97,609.66 and 20,694.84

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Solution

The fourth proportional to 65,066.64, 97,609.66 and 20,694.84 is: 31,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,066.64 : 97,609.66 = 20,694.84 : x
  2. Step 2: Convert to fraction form
    65,066.64/97,609.66 = 20,694.84/x
  3. Step 3: Cross multiply
    65,066.64x = 97,609.66 × 20,694.84
  4. Step 4: Simplify right side
    65,066.64x = 2,020,016,296.15
  5. Step 5: Solve for x
    x = 2,020,016,296.15/65,066.64
  6. Step 6: Final answer
    x = 31,045.35

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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.