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Finding the Fourth Proportional to 64,693.76, 97,034.22 and 20,319.32

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Solution

The fourth proportional to 64,693.76, 97,034.22 and 20,319.32 is: 30,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,693.76 : 97,034.22 = 20,319.32 : x
  2. Step 2: Convert to fraction form
    64,693.76/97,034.22 = 20,319.32/x
  3. Step 3: Cross multiply
    64,693.76x = 97,034.22 × 20,319.32
  4. Step 4: Simplify right side
    64,693.76x = 1,971,669,609.72
  5. Step 5: Solve for x
    x = 1,971,669,609.72/64,693.76
  6. Step 6: Final answer
    x = 30,476.97

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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.