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Finding the Fourth Proportional to 77,487.76, 116,227.54 and 24,893.16

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Solution

The fourth proportional to 77,487.76, 116,227.54 and 24,893.16 is: 37,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487.76 : 116,227.54 = 24,893.16 : x
  2. Step 2: Convert to fraction form
    77,487.76/116,227.54 = 24,893.16/x
  3. Step 3: Cross multiply
    77,487.76x = 116,227.54 × 24,893.16
  4. Step 4: Simplify right side
    77,487.76x = 2,893,270,749.63
  5. Step 5: Solve for x
    x = 2,893,270,749.63/77,487.76
  6. Step 6: Final answer
    x = 37,338.42

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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.