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Finding the Fourth Proportional to 54,362.39, 75,009.38 and 31,705.07

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Solution

The fourth proportional to 54,362.39, 75,009.38 and 31,705.07 is: 43,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362.39 : 75,009.38 = 31,705.07 : x
  2. Step 2: Convert to fraction form
    54,362.39/75,009.38 = 31,705.07/x
  3. Step 3: Cross multiply
    54,362.39x = 75,009.38 × 31,705.07
  4. Step 4: Simplify right side
    54,362.39x = 2,378,177,109.98
  5. Step 5: Solve for x
    x = 2,378,177,109.98/54,362.39
  6. Step 6: Final answer
    x = 43,746.74

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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.