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Finding the Fourth Proportional to 37,634.50, 56,451.78 and 9,556.66

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Solution

The fourth proportional to 37,634.50, 56,451.78 and 9,556.66 is: 14,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634.50 : 56,451.78 = 9,556.66 : x
  2. Step 2: Convert to fraction form
    37,634.50/56,451.78 = 9,556.66/x
  3. Step 3: Cross multiply
    37,634.50x = 56,451.78 × 9,556.66
  4. Step 4: Simplify right side
    37,634.50x = 539,490,420.07
  5. Step 5: Solve for x
    x = 539,490,420.07/37,634.50
  6. Step 6: Final answer
    x = 14,335.00

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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.