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Finding the Fourth Proportional to 30,070.38, 45,109.89 and 9,295.50

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Solution

The fourth proportional to 30,070.38, 45,109.89 and 9,295.50 is: 13,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,070.38 : 45,109.89 = 9,295.50 : x
  2. Step 2: Convert to fraction form
    30,070.38/45,109.89 = 9,295.50/x
  3. Step 3: Cross multiply
    30,070.38x = 45,109.89 × 9,295.50
  4. Step 4: Simplify right side
    30,070.38x = 419,318,982.50
  5. Step 5: Solve for x
    x = 419,318,982.50/30,070.38
  6. Step 6: Final answer
    x = 13,944.59

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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.