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Finding the Fourth Proportional to 72,002.20, 107,964.90 and 30,402.20

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Solution

The fourth proportional to 72,002.20, 107,964.90 and 30,402.20 is: 45,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,002.20 : 107,964.90 = 30,402.20 : x
  2. Step 2: Convert to fraction form
    72,002.20/107,964.90 = 30,402.20/x
  3. Step 3: Cross multiply
    72,002.20x = 107,964.90 × 30,402.20
  4. Step 4: Simplify right side
    72,002.20x = 3,282,370,482.78
  5. Step 5: Solve for x
    x = 3,282,370,482.78/72,002.20
  6. Step 6: Final answer
    x = 45,587.09

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