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Finding the Fourth Proportional to 96,965.76, 133,807.86 and 54,521.76

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Solution

The fourth proportional to 96,965.76, 133,807.86 and 54,521.76 is: 75,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,965.76 : 133,807.86 = 54,521.76 : x
  2. Step 2: Convert to fraction form
    96,965.76/133,807.86 = 54,521.76/x
  3. Step 3: Cross multiply
    96,965.76x = 133,807.86 × 54,521.76
  4. Step 4: Simplify right side
    96,965.76x = 7,295,440,029.03
  5. Step 5: Solve for x
    x = 7,295,440,029.03/96,965.76
  6. Step 6: Final answer
    x = 75,237.28

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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.