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Finding the Fourth Proportional to 30,619.50, 45,929.28 and 12,151.50

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Solution

The fourth proportional to 30,619.50, 45,929.28 and 12,151.50 is: 18,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,619.50 : 45,929.28 = 12,151.50 : x
  2. Step 2: Convert to fraction form
    30,619.50/45,929.28 = 12,151.50/x
  3. Step 3: Cross multiply
    30,619.50x = 45,929.28 × 12,151.50
  4. Step 4: Simplify right side
    30,619.50x = 558,109,645.92
  5. Step 5: Solve for x
    x = 558,109,645.92/30,619.50
  6. Step 6: Final answer
    x = 18,227.26

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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.