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Finding the Fourth Proportional to 37,145.32, 55,712 and 10,843.90

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Solution

The fourth proportional to 37,145.32, 55,712 and 10,843.90 is: 16,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,145.32 : 55,712 = 10,843.90 : x
  2. Step 2: Convert to fraction form
    37,145.32/55,712 = 10,843.90/x
  3. Step 3: Cross multiply
    37,145.32x = 55,712 × 10,843.90
  4. Step 4: Simplify right side
    37,145.32x = 604,135,356.80
  5. Step 5: Solve for x
    x = 604,135,356.80/37,145.32
  6. Step 6: Final answer
    x = 16,264.10

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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.