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Finding the Fourth Proportional to 71,798.66, 107,698.02 and 32,309.64

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Solution

The fourth proportional to 71,798.66, 107,698.02 and 32,309.64 is: 48,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,798.66 : 107,698.02 = 32,309.64 : x
  2. Step 2: Convert to fraction form
    71,798.66/107,698.02 = 32,309.64/x
  3. Step 3: Cross multiply
    71,798.66x = 107,698.02 × 32,309.64
  4. Step 4: Simplify right side
    71,798.66x = 3,479,684,254.91
  5. Step 5: Solve for x
    x = 3,479,684,254.91/71,798.66
  6. Step 6: Final answer
    x = 48,464.48

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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.