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Finding the Fourth Proportional to 65,203.64, 97,793.90 and 29,656.65

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Solution

The fourth proportional to 65,203.64, 97,793.90 and 29,656.65 is: 44,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.64 : 97,793.90 = 29,656.65 : x
  2. Step 2: Convert to fraction form
    65,203.64/97,793.90 = 29,656.65/x
  3. Step 3: Cross multiply
    65,203.64x = 97,793.90 × 29,656.65
  4. Step 4: Simplify right side
    65,203.64x = 2,900,239,794.09
  5. Step 5: Solve for x
    x = 2,900,239,794.09/65,203.64
  6. Step 6: Final answer
    x = 44,479.72

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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.