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Finding the Fourth Proportional to 70,118.22, 105,114.81 and 25,734.68

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Solution

The fourth proportional to 70,118.22, 105,114.81 and 25,734.68 is: 38,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,118.22 : 105,114.81 = 25,734.68 : x
  2. Step 2: Convert to fraction form
    70,118.22/105,114.81 = 25,734.68/x
  3. Step 3: Cross multiply
    70,118.22x = 105,114.81 × 25,734.68
  4. Step 4: Simplify right side
    70,118.22x = 2,705,095,963.72
  5. Step 5: Solve for x
    x = 2,705,095,963.72/70,118.22
  6. Step 6: Final answer
    x = 38,579.07

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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.