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Finding the Fourth Proportional to 77,901.25, 116,871.32 and 22,497.25

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Solution

The fourth proportional to 77,901.25, 116,871.32 and 22,497.25 is: 33,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,901.25 : 116,871.32 = 22,497.25 : x
  2. Step 2: Convert to fraction form
    77,901.25/116,871.32 = 22,497.25/x
  3. Step 3: Cross multiply
    77,901.25x = 116,871.32 × 22,497.25
  4. Step 4: Simplify right side
    77,901.25x = 2,629,283,303.87
  5. Step 5: Solve for x
    x = 2,629,283,303.87/77,901.25
  6. Step 6: Final answer
    x = 33,751.49

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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.