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Finding the Fourth Proportional to 51,856.25, 77,784.38 and 14,920.25

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Solution

The fourth proportional to 51,856.25, 77,784.38 and 14,920.25 is: 22,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.25 : 77,784.38 = 14,920.25 : x
  2. Step 2: Convert to fraction form
    51,856.25/77,784.38 = 14,920.25/x
  3. Step 3: Cross multiply
    51,856.25x = 77,784.38 × 14,920.25
  4. Step 4: Simplify right side
    51,856.25x = 1,160,562,395.70
  5. Step 5: Solve for x
    x = 1,160,562,395.70/51,856.25
  6. Step 6: Final answer
    x = 22,380.38

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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.