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Finding the Fourth Proportional to 37,709.46, 56,565 and 11,414.16

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Solution

The fourth proportional to 37,709.46, 56,565 and 11,414.16 is: 17,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,709.46 : 56,565 = 11,414.16 : x
  2. Step 2: Convert to fraction form
    37,709.46/56,565 = 11,414.16/x
  3. Step 3: Cross multiply
    37,709.46x = 56,565 × 11,414.16
  4. Step 4: Simplify right side
    37,709.46x = 645,641,960.40
  5. Step 5: Solve for x
    x = 645,641,960.40/37,709.46
  6. Step 6: Final answer
    x = 17,121.49

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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.