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Finding the Fourth Proportional to 96,951.84, 133,783.31 and 53,924.32

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Solution

The fourth proportional to 96,951.84, 133,783.31 and 53,924.32 is: 74,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,951.84 : 133,783.31 = 53,924.32 : x
  2. Step 2: Convert to fraction form
    96,951.84/133,783.31 = 53,924.32/x
  3. Step 3: Cross multiply
    96,951.84x = 133,783.31 × 53,924.32
  4. Step 4: Simplify right side
    96,951.84x = 7,214,174,321.14
  5. Step 5: Solve for x
    x = 7,214,174,321.14/96,951.84
  6. Step 6: Final answer
    x = 74,409.88

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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.