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Finding the Fourth Proportional to 73,657.08, 101,655 and 41,831.64

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Solution

The fourth proportional to 73,657.08, 101,655 and 41,831.64 is: 57,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,657.08 : 101,655 = 41,831.64 : x
  2. Step 2: Convert to fraction form
    73,657.08/101,655 = 41,831.64/x
  3. Step 3: Cross multiply
    73,657.08x = 101,655 × 41,831.64
  4. Step 4: Simplify right side
    73,657.08x = 4,252,395,364.20
  5. Step 5: Solve for x
    x = 4,252,395,364.20/73,657.08
  6. Step 6: Final answer
    x = 57,732.34

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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.