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Finding the Fourth Proportional to 96,216.84, 132,783.35 and 53,775.38

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Solution

The fourth proportional to 96,216.84, 132,783.35 and 53,775.38 is: 74,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,216.84 : 132,783.35 = 53,775.38 : x
  2. Step 2: Convert to fraction form
    96,216.84/132,783.35 = 53,775.38/x
  3. Step 3: Cross multiply
    96,216.84x = 132,783.35 × 53,775.38
  4. Step 4: Simplify right side
    96,216.84x = 7,140,474,171.13
  5. Step 5: Solve for x
    x = 7,140,474,171.13/96,216.84
  6. Step 6: Final answer
    x = 74,212.31

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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.