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Finding the Fourth Proportional to 77,742.31, 116,594.02 and 22,338.31

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Solution

The fourth proportional to 77,742.31, 116,594.02 and 22,338.31 is: 33,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742.31 : 116,594.02 = 22,338.31 : x
  2. Step 2: Convert to fraction form
    77,742.31/116,594.02 = 22,338.31/x
  3. Step 3: Cross multiply
    77,742.31x = 116,594.02 × 22,338.31
  4. Step 4: Simplify right side
    77,742.31x = 2,604,513,362.91
  5. Step 5: Solve for x
    x = 2,604,513,362.91/77,742.31
  6. Step 6: Final answer
    x = 33,501.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.