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Finding the Fourth Proportional to 64,101.89, 96,164.46 and 32,097.66

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Solution

The fourth proportional to 64,101.89, 96,164.46 and 32,097.66 is: 48,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,101.89 : 96,164.46 = 32,097.66 : x
  2. Step 2: Convert to fraction form
    64,101.89/96,164.46 = 32,097.66/x
  3. Step 3: Cross multiply
    64,101.89x = 96,164.46 × 32,097.66
  4. Step 4: Simplify right side
    64,101.89x = 3,086,653,780.55
  5. Step 5: Solve for x
    x = 3,086,653,780.55/64,101.89
  6. Step 6: Final answer
    x = 48,152.30

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1.5x scale

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.