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Finding the Fourth Proportional to 64,196.20, 96,342.90 and 42,002.20

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Solution

The fourth proportional to 64,196.20, 96,342.90 and 42,002.20 is: 63,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196.20 : 96,342.90 = 42,002.20 : x
  2. Step 2: Convert to fraction form
    64,196.20/96,342.90 = 42,002.20/x
  3. Step 3: Cross multiply
    64,196.20x = 96,342.90 × 42,002.20
  4. Step 4: Simplify right side
    64,196.20x = 4,046,613,754.38
  5. Step 5: Solve for x
    x = 4,046,613,754.38/64,196.20
  6. Step 6: Final answer
    x = 63,035.10

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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.