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Finding the Fourth Proportional to 96,230, 132,796.59 and 55,402.12

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Solution

The fourth proportional to 96,230, 132,796.59 and 55,402.12 is: 76,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,230 : 132,796.59 = 55,402.12 : x
  2. Step 2: Convert to fraction form
    96,230/132,796.59 = 55,402.12/x
  3. Step 3: Cross multiply
    96,230x = 132,796.59 × 55,402.12
  4. Step 4: Simplify right side
    96,230x = 7,357,212,614.77
  5. Step 5: Solve for x
    x = 7,357,212,614.77/96,230
  6. Step 6: Final answer
    x = 76,454.46

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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.