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Finding the Fourth Proportional to 73,510, 101,444.16 and 39,976

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Solution

The fourth proportional to 73,510, 101,444.16 and 39,976 is: 55,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,510 : 101,444.16 = 39,976 : x
  2. Step 2: Convert to fraction form
    73,510/101,444.16 = 39,976/x
  3. Step 3: Cross multiply
    73,510x = 101,444.16 × 39,976
  4. Step 4: Simplify right side
    73,510x = 4,055,331,740.16
  5. Step 5: Solve for x
    x = 4,055,331,740.16/73,510
  6. Step 6: Final answer
    x = 55,167.08

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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.