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Finding the Fourth Proportional to 30,137.54, 45,212.98 and 10,148.02

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Solution

The fourth proportional to 30,137.54, 45,212.98 and 10,148.02 is: 15,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.54 : 45,212.98 = 10,148.02 : x
  2. Step 2: Convert to fraction form
    30,137.54/45,212.98 = 10,148.02/x
  3. Step 3: Cross multiply
    30,137.54x = 45,212.98 × 10,148.02
  4. Step 4: Simplify right side
    30,137.54x = 458,822,289.53
  5. Step 5: Solve for x
    x = 458,822,289.53/30,137.54
  6. Step 6: Final answer
    x = 15,224.28

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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.