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Finding the Fourth Proportional to 77,969.60, 116,963.54 and 27,353.15

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Solution

The fourth proportional to 77,969.60, 116,963.54 and 27,353.15 is: 41,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,969.60 : 116,963.54 = 27,353.15 : x
  2. Step 2: Convert to fraction form
    77,969.60/116,963.54 = 27,353.15/x
  3. Step 3: Cross multiply
    77,969.60x = 116,963.54 × 27,353.15
  4. Step 4: Simplify right side
    77,969.60x = 3,199,320,532.57
  5. Step 5: Solve for x
    x = 3,199,320,532.57/77,969.60
  6. Step 6: Final answer
    x = 41,032.92

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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.