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Finding the Fourth Proportional to 30,130.68, 45,211.14 and 12,600.12

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Solution

The fourth proportional to 30,130.68, 45,211.14 and 12,600.12 is: 18,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130.68 : 45,211.14 = 12,600.12 : x
  2. Step 2: Convert to fraction form
    30,130.68/45,211.14 = 12,600.12/x
  3. Step 3: Cross multiply
    30,130.68x = 45,211.14 × 12,600.12
  4. Step 4: Simplify right side
    30,130.68x = 569,665,789.34
  5. Step 5: Solve for x
    x = 569,665,789.34/30,130.68
  6. Step 6: Final answer
    x = 18,906.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.