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Finding the Fourth Proportional to 96,221, 132,782.68 and 53,783.48

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Solution

The fourth proportional to 96,221, 132,782.68 and 53,783.48 is: 74,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,221 : 132,782.68 = 53,783.48 : x
  2. Step 2: Convert to fraction form
    96,221/132,782.68 = 53,783.48/x
  3. Step 3: Cross multiply
    96,221x = 132,782.68 × 53,783.48
  4. Step 4: Simplify right side
    96,221x = 7,141,514,614.13
  5. Step 5: Solve for x
    x = 7,141,514,614.13/96,221
  6. Step 6: Final answer
    x = 74,219.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.