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Finding the Fourth Proportional to 69,152.19, 103,739.21 and 24,777.96

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Solution

The fourth proportional to 69,152.19, 103,739.21 and 24,777.96 is: 37,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,152.19 : 103,739.21 = 24,777.96 : x
  2. Step 2: Convert to fraction form
    69,152.19/103,739.21 = 24,777.96/x
  3. Step 3: Cross multiply
    69,152.19x = 103,739.21 × 24,777.96
  4. Step 4: Simplify right side
    69,152.19x = 2,570,445,995.81
  5. Step 5: Solve for x
    x = 2,570,445,995.81/69,152.19
  6. Step 6: Final answer
    x = 37,170.85

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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.