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Finding the Fourth Proportional to 77,802.32, 116,720.76 and 22,394

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Solution

The fourth proportional to 77,802.32, 116,720.76 and 22,394 is: 33,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.32 : 116,720.76 = 22,394 : x
  2. Step 2: Convert to fraction form
    77,802.32/116,720.76 = 22,394/x
  3. Step 3: Cross multiply
    77,802.32x = 116,720.76 × 22,394
  4. Step 4: Simplify right side
    77,802.32x = 2,613,844,699.44
  5. Step 5: Solve for x
    x = 2,613,844,699.44/77,802.32
  6. Step 6: Final answer
    x = 33,595.97

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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.