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Finding the Fourth Proportional to 73,659.34, 101,646.27 and 41,824.06

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Solution

The fourth proportional to 73,659.34, 101,646.27 and 41,824.06 is: 57,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,659.34 : 101,646.27 = 41,824.06 : x
  2. Step 2: Convert to fraction form
    73,659.34/101,646.27 = 41,824.06/x
  3. Step 3: Cross multiply
    73,659.34x = 101,646.27 × 41,824.06
  4. Step 4: Simplify right side
    73,659.34x = 4,251,259,695.26
  5. Step 5: Solve for x
    x = 4,251,259,695.26/73,659.34
  6. Step 6: Final answer
    x = 57,715.15

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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.