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Finding the Fourth Proportional to 30,140.48, 45,212.88 and 10,150

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Solution

The fourth proportional to 30,140.48, 45,212.88 and 10,150 is: 15,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.48 : 45,212.88 = 10,150 : x
  2. Step 2: Convert to fraction form
    30,140.48/45,212.88 = 10,150/x
  3. Step 3: Cross multiply
    30,140.48x = 45,212.88 × 10,150
  4. Step 4: Simplify right side
    30,140.48x = 458,910,732
  5. Step 5: Solve for x
    x = 458,910,732/30,140.48
  6. Step 6: Final answer
    x = 15,225.73

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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.