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Finding the Fourth Proportional to 100,345.13, 138,477.84 and 55,027.25

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Solution

The fourth proportional to 100,345.13, 138,477.84 and 55,027.25 is: 75,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,345.13 : 138,477.84 = 55,027.25 : x
  2. Step 2: Convert to fraction form
    100,345.13/138,477.84 = 55,027.25/x
  3. Step 3: Cross multiply
    100,345.13x = 138,477.84 × 55,027.25
  4. Step 4: Simplify right side
    100,345.13x = 7,620,054,721.14
  5. Step 5: Solve for x
    x = 7,620,054,721.14/100,345.13
  6. Step 6: Final answer
    x = 75,938.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.