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Finding the Fourth Proportional to 30,208.14, 45,307.96 and 8,023.46

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Solution

The fourth proportional to 30,208.14, 45,307.96 and 8,023.46 is: 12,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.14 : 45,307.96 = 8,023.46 : x
  2. Step 2: Convert to fraction form
    30,208.14/45,307.96 = 8,023.46/x
  3. Step 3: Cross multiply
    30,208.14x = 45,307.96 × 8,023.46
  4. Step 4: Simplify right side
    30,208.14x = 363,526,358.14
  5. Step 5: Solve for x
    x = 363,526,358.14/30,208.14
  6. Step 6: Final answer
    x = 12,034.05

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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.