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Finding the Fourth Proportional to 37,036.64, 55,562.64 and 12,412

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Solution

The fourth proportional to 37,036.64, 55,562.64 and 12,412 is: 18,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,036.64 : 55,562.64 = 12,412 : x
  2. Step 2: Convert to fraction form
    37,036.64/55,562.64 = 12,412/x
  3. Step 3: Cross multiply
    37,036.64x = 55,562.64 × 12,412
  4. Step 4: Simplify right side
    37,036.64x = 689,643,487.68
  5. Step 5: Solve for x
    x = 689,643,487.68/37,036.64
  6. Step 6: Final answer
    x = 18,620.57

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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.