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Finding the Fourth Proportional to 37,773.54, 56,663.50 and 11,478.52

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Solution

The fourth proportional to 37,773.54, 56,663.50 and 11,478.52 is: 17,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,773.54 : 56,663.50 = 11,478.52 : x
  2. Step 2: Convert to fraction form
    37,773.54/56,663.50 = 11,478.52/x
  3. Step 3: Cross multiply
    37,773.54x = 56,663.50 × 11,478.52
  4. Step 4: Simplify right side
    37,773.54x = 650,413,118.02
  5. Step 5: Solve for x
    x = 650,413,118.02/37,773.54
  6. Step 6: Final answer
    x = 17,218.75

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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.