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Finding the Fourth Proportional to 96,513.59, 133,022.42 and 64,190.41

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Solution

The fourth proportional to 96,513.59, 133,022.42 and 64,190.41 is: 88,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,513.59 : 133,022.42 = 64,190.41 : x
  2. Step 2: Convert to fraction form
    96,513.59/133,022.42 = 64,190.41/x
  3. Step 3: Cross multiply
    96,513.59x = 133,022.42 × 64,190.41
  4. Step 4: Simplify right side
    96,513.59x = 8,538,763,266.20
  5. Step 5: Solve for x
    x = 8,538,763,266.20/96,513.59
  6. Step 6: Final answer
    x = 88,472.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.