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Finding the Fourth Proportional to 30,114.99, 45,178.55 and 10,394.31

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Solution

The fourth proportional to 30,114.99, 45,178.55 and 10,394.31 is: 15,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.99 : 45,178.55 = 10,394.31 : x
  2. Step 2: Convert to fraction form
    30,114.99/45,178.55 = 10,394.31/x
  3. Step 3: Cross multiply
    30,114.99x = 45,178.55 × 10,394.31
  4. Step 4: Simplify right side
    30,114.99x = 469,599,802.08
  5. Step 5: Solve for x
    x = 469,599,802.08/30,114.99
  6. Step 6: Final answer
    x = 15,593.56

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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.