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Finding the Fourth Proportional to 37,653.50, 56,462.06 and 21,862.50

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Solution

The fourth proportional to 37,653.50, 56,462.06 and 21,862.50 is: 32,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,653.50 : 56,462.06 = 21,862.50 : x
  2. Step 2: Convert to fraction form
    37,653.50/56,462.06 = 21,862.50/x
  3. Step 3: Cross multiply
    37,653.50x = 56,462.06 × 21,862.50
  4. Step 4: Simplify right side
    37,653.50x = 1,234,401,677.44
  5. Step 5: Solve for x
    x = 1,234,401,677.44/37,653.50
  6. Step 6: Final answer
    x = 32,783.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.