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Finding the Fourth Proportional to 73,486.64, 110,218.15 and 20,166.16

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Solution

The fourth proportional to 73,486.64, 110,218.15 and 20,166.16 is: 30,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,486.64 : 110,218.15 = 20,166.16 : x
  2. Step 2: Convert to fraction form
    73,486.64/110,218.15 = 20,166.16/x
  3. Step 3: Cross multiply
    73,486.64x = 110,218.15 × 20,166.16
  4. Step 4: Simplify right side
    73,486.64x = 2,222,677,061.20
  5. Step 5: Solve for x
    x = 2,222,677,061.20/73,486.64
  6. Step 6: Final answer
    x = 30,246.00

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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.