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Finding the Fourth Proportional to 71,152.32, 106,741.44 and 24,394.80

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Solution

The fourth proportional to 71,152.32, 106,741.44 and 24,394.80 is: 36,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.32 : 106,741.44 = 24,394.80 : x
  2. Step 2: Convert to fraction form
    71,152.32/106,741.44 = 24,394.80/x
  3. Step 3: Cross multiply
    71,152.32x = 106,741.44 × 24,394.80
  4. Step 4: Simplify right side
    71,152.32x = 2,603,936,080.51
  5. Step 5: Solve for x
    x = 2,603,936,080.51/71,152.32
  6. Step 6: Final answer
    x = 36,596.64

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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.