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Finding the Fourth Proportional to 52,224, 78,335.86 and 18,944

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Solution

The fourth proportional to 52,224, 78,335.86 and 18,944 is: 28,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,224 : 78,335.86 = 18,944 : x
  2. Step 2: Convert to fraction form
    52,224/78,335.86 = 18,944/x
  3. Step 3: Cross multiply
    52,224x = 78,335.86 × 18,944
  4. Step 4: Simplify right side
    52,224x = 1,483,994,531.84
  5. Step 5: Solve for x
    x = 1,483,994,531.84/52,224
  6. Step 6: Final answer
    x = 28,415.95

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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.