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Finding the Fourth Proportional to 64,465.28, 96,655 and 32,886.80

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Solution

The fourth proportional to 64,465.28, 96,655 and 32,886.80 is: 49,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,465.28 : 96,655 = 32,886.80 : x
  2. Step 2: Convert to fraction form
    64,465.28/96,655 = 32,886.80/x
  3. Step 3: Cross multiply
    64,465.28x = 96,655 × 32,886.80
  4. Step 4: Simplify right side
    64,465.28x = 3,178,673,654.00
  5. Step 5: Solve for x
    x = 3,178,673,654.00/64,465.28
  6. Step 6: Final answer
    x = 49,308.30

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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.