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Finding the Fourth Proportional to 48,805.83, 73,214.19 and 19,219.77

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Solution

The fourth proportional to 48,805.83, 73,214.19 and 19,219.77 is: 28,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,805.83 : 73,214.19 = 19,219.77 : x
  2. Step 2: Convert to fraction form
    48,805.83/73,214.19 = 19,219.77/x
  3. Step 3: Cross multiply
    48,805.83x = 73,214.19 × 19,219.77
  4. Step 4: Simplify right side
    48,805.83x = 1,407,159,892.54
  5. Step 5: Solve for x
    x = 1,407,159,892.54/48,805.83
  6. Step 6: Final answer
    x = 28,831.80

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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.