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Finding the Fourth Proportional to 32,038.24, 44,227.50 and 24,083

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Solution

The fourth proportional to 32,038.24, 44,227.50 and 24,083 is: 33,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.24 : 44,227.50 = 24,083 : x
  2. Step 2: Convert to fraction form
    32,038.24/44,227.50 = 24,083/x
  3. Step 3: Cross multiply
    32,038.24x = 44,227.50 × 24,083
  4. Step 4: Simplify right side
    32,038.24x = 1,065,130,882.50
  5. Step 5: Solve for x
    x = 1,065,130,882.50/32,038.24
  6. Step 6: Final answer
    x = 33,245.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.