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Finding the Fourth Proportional to 96,993.74, 133,845.66 and 53,971.80

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Solution

The fourth proportional to 96,993.74, 133,845.66 and 53,971.80 is: 74,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,993.74 : 133,845.66 = 53,971.80 : x
  2. Step 2: Convert to fraction form
    96,993.74/133,845.66 = 53,971.80/x
  3. Step 3: Cross multiply
    96,993.74x = 133,845.66 × 53,971.80
  4. Step 4: Simplify right side
    96,993.74x = 7,223,891,192.39
  5. Step 5: Solve for x
    x = 7,223,891,192.39/96,993.74
  6. Step 6: Final answer
    x = 74,477.92

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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.