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Finding the Fourth Proportional to 96,894.50, 133,698.22 and 53,872.80

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Solution

The fourth proportional to 96,894.50, 133,698.22 and 53,872.80 is: 74,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,894.50 : 133,698.22 = 53,872.80 : x
  2. Step 2: Convert to fraction form
    96,894.50/133,698.22 = 53,872.80/x
  3. Step 3: Cross multiply
    96,894.50x = 133,698.22 × 53,872.80
  4. Step 4: Simplify right side
    96,894.50x = 7,202,696,981.88
  5. Step 5: Solve for x
    x = 7,202,696,981.88/96,894.50
  6. Step 6: Final answer
    x = 74,335.45

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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.