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Finding the Fourth Proportional to 37,561.78, 56,348.16 and 11,268.57

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Solution

The fourth proportional to 37,561.78, 56,348.16 and 11,268.57 is: 16,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,561.78 : 56,348.16 = 11,268.57 : x
  2. Step 2: Convert to fraction form
    37,561.78/56,348.16 = 11,268.57/x
  3. Step 3: Cross multiply
    37,561.78x = 56,348.16 × 11,268.57
  4. Step 4: Simplify right side
    37,561.78x = 634,963,037.42
  5. Step 5: Solve for x
    x = 634,963,037.42/37,561.78
  6. Step 6: Final answer
    x = 16,904.50

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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.