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Finding the Fourth Proportional to 96,222, 132,784.06 and 53,784.48

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Solution

The fourth proportional to 96,222, 132,784.06 and 53,784.48 is: 74,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,222 : 132,784.06 = 53,784.48 : x
  2. Step 2: Convert to fraction form
    96,222/132,784.06 = 53,784.48/x
  3. Step 3: Cross multiply
    96,222x = 132,784.06 × 53,784.48
  4. Step 4: Simplify right side
    96,222x = 7,141,721,619.39
  5. Step 5: Solve for x
    x = 7,141,721,619.39/96,222
  6. Step 6: Final answer
    x = 74,221.30

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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.