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Finding the Fourth Proportional to 70,165.51, 105,200.22 and 25,185.87

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Solution

The fourth proportional to 70,165.51, 105,200.22 and 25,185.87 is: 37,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,165.51 : 105,200.22 = 25,185.87 : x
  2. Step 2: Convert to fraction form
    70,165.51/105,200.22 = 25,185.87/x
  3. Step 3: Cross multiply
    70,165.51x = 105,200.22 × 25,185.87
  4. Step 4: Simplify right side
    70,165.51x = 2,649,559,064.89
  5. Step 5: Solve for x
    x = 2,649,559,064.89/70,165.51
  6. Step 6: Final answer
    x = 37,761.56

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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.