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Finding the Fourth Proportional to 64,718.58, 97,077.79 and 20,349.21

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Solution

The fourth proportional to 64,718.58, 97,077.79 and 20,349.21 is: 30,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718.58 : 97,077.79 = 20,349.21 : x
  2. Step 2: Convert to fraction form
    64,718.58/97,077.79 = 20,349.21/x
  3. Step 3: Cross multiply
    64,718.58x = 97,077.79 × 20,349.21
  4. Step 4: Simplify right side
    64,718.58x = 1,975,456,335.05
  5. Step 5: Solve for x
    x = 1,975,456,335.05/64,718.58
  6. Step 6: Final answer
    x = 30,523.79

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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.