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Finding the Fourth Proportional to 73,446, 110,203.56 and 38,402.16

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Solution

The fourth proportional to 73,446, 110,203.56 and 38,402.16 is: 57,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,446 : 110,203.56 = 38,402.16 : x
  2. Step 2: Convert to fraction form
    73,446/110,203.56 = 38,402.16/x
  3. Step 3: Cross multiply
    73,446x = 110,203.56 × 38,402.16
  4. Step 4: Simplify right side
    73,446x = 4,232,054,743.69
  5. Step 5: Solve for x
    x = 4,232,054,743.69/73,446
  6. Step 6: Final answer
    x = 57,621.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.