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Finding the Fourth Proportional to 73,267, 101,108.52 and 39,733

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Solution

The fourth proportional to 73,267, 101,108.52 and 39,733 is: 54,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,267 : 101,108.52 = 39,733 : x
  2. Step 2: Convert to fraction form
    73,267/101,108.52 = 39,733/x
  3. Step 3: Cross multiply
    73,267x = 101,108.52 × 39,733
  4. Step 4: Simplify right side
    73,267x = 4,017,344,825.16
  5. Step 5: Solve for x
    x = 4,017,344,825.16/73,267
  6. Step 6: Final answer
    x = 54,831.57

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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.