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Finding the Fourth Proportional to 73,842, 110,809.08 and 30,066

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Solution

The fourth proportional to 73,842, 110,809.08 and 30,066 is: 45,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842 : 110,809.08 = 30,066 : x
  2. Step 2: Convert to fraction form
    73,842/110,809.08 = 30,066/x
  3. Step 3: Cross multiply
    73,842x = 110,809.08 × 30,066
  4. Step 4: Simplify right side
    73,842x = 3,331,585,799.28
  5. Step 5: Solve for x
    x = 3,331,585,799.28/73,842
  6. Step 6: Final answer
    x = 45,117.76

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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.