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Finding the Fourth Proportional to 100,957.25, 151,424.16 and 26,071.51

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Solution

The fourth proportional to 100,957.25, 151,424.16 and 26,071.51 is: 39,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957.25 : 151,424.16 = 26,071.51 : x
  2. Step 2: Convert to fraction form
    100,957.25/151,424.16 = 26,071.51/x
  3. Step 3: Cross multiply
    100,957.25x = 151,424.16 × 26,071.51
  4. Step 4: Simplify right side
    100,957.25x = 3,947,856,371.32
  5. Step 5: Solve for x
    x = 3,947,856,371.32/100,957.25
  6. Step 6: Final answer
    x = 39,104.24

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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.