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Finding the Fourth Proportional to 75,947.68, 114,025.20 and 48,368.80

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Solution

The fourth proportional to 75,947.68, 114,025.20 and 48,368.80 is: 72,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,947.68 : 114,025.20 = 48,368.80 : x
  2. Step 2: Convert to fraction form
    75,947.68/114,025.20 = 48,368.80/x
  3. Step 3: Cross multiply
    75,947.68x = 114,025.20 × 48,368.80
  4. Step 4: Simplify right side
    75,947.68x = 5,515,262,093.76
  5. Step 5: Solve for x
    x = 5,515,262,093.76/75,947.68
  6. Step 6: Final answer
    x = 72,619.23

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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.