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Finding the Fourth Proportional to 77,197.70, 115,807.61 and 23,894.36

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Solution

The fourth proportional to 77,197.70, 115,807.61 and 23,894.36 is: 35,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.70 : 115,807.61 = 23,894.36 : x
  2. Step 2: Convert to fraction form
    77,197.70/115,807.61 = 23,894.36/x
  3. Step 3: Cross multiply
    77,197.70x = 115,807.61 × 23,894.36
  4. Step 4: Simplify right side
    77,197.70x = 2,767,148,356.81
  5. Step 5: Solve for x
    x = 2,767,148,356.81/77,197.70
  6. Step 6: Final answer
    x = 35,844.96

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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.