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Finding the Fourth Proportional to 84,857.36, 127,276.32 and 22,532.72

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Solution

The fourth proportional to 84,857.36, 127,276.32 and 22,532.72 is: 33,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,857.36 : 127,276.32 = 22,532.72 : x
  2. Step 2: Convert to fraction form
    84,857.36/127,276.32 = 22,532.72/x
  3. Step 3: Cross multiply
    84,857.36x = 127,276.32 × 22,532.72
  4. Step 4: Simplify right side
    84,857.36x = 2,867,881,681.19
  5. Step 5: Solve for x
    x = 2,867,881,681.19/84,857.36
  6. Step 6: Final answer
    x = 33,796.50

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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.