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Finding the Fourth Proportional to 73,643.04, 101,595.06 and 49,761

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Solution

The fourth proportional to 73,643.04, 101,595.06 and 49,761 is: 68,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,643.04 : 101,595.06 = 49,761 : x
  2. Step 2: Convert to fraction form
    73,643.04/101,595.06 = 49,761/x
  3. Step 3: Cross multiply
    73,643.04x = 101,595.06 × 49,761
  4. Step 4: Simplify right side
    73,643.04x = 5,055,471,780.66
  5. Step 5: Solve for x
    x = 5,055,471,780.66/73,643.04
  6. Step 6: Final answer
    x = 68,648.33

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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.