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Finding the Fourth Proportional to 37,431, 56,155.74 and 11,135.64

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Solution

The fourth proportional to 37,431, 56,155.74 and 11,135.64 is: 16,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431 : 56,155.74 = 11,135.64 : x
  2. Step 2: Convert to fraction form
    37,431/56,155.74 = 11,135.64/x
  3. Step 3: Cross multiply
    37,431x = 56,155.74 × 11,135.64
  4. Step 4: Simplify right side
    37,431x = 625,330,104.57
  5. Step 5: Solve for x
    x = 625,330,104.57/37,431
  6. Step 6: Final answer
    x = 16,706.21

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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.