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Finding the Fourth Proportional to 101,907.32, 152,826.39 and 38,712.20

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Solution

The fourth proportional to 101,907.32, 152,826.39 and 38,712.20 is: 58,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,907.32 : 152,826.39 = 38,712.20 : x
  2. Step 2: Convert to fraction form
    101,907.32/152,826.39 = 38,712.20/x
  3. Step 3: Cross multiply
    101,907.32x = 152,826.39 × 38,712.20
  4. Step 4: Simplify right side
    101,907.32x = 5,916,245,010.83
  5. Step 5: Solve for x
    x = 5,916,245,010.83/101,907.32
  6. Step 6: Final answer
    x = 58,055.16

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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.