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Finding the Fourth Proportional to 32,223.85, 48,335.78 and 10,039.01

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Solution

The fourth proportional to 32,223.85, 48,335.78 and 10,039.01 is: 15,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223.85 : 48,335.78 = 10,039.01 : x
  2. Step 2: Convert to fraction form
    32,223.85/48,335.78 = 10,039.01/x
  3. Step 3: Cross multiply
    32,223.85x = 48,335.78 × 10,039.01
  4. Step 4: Simplify right side
    32,223.85x = 485,243,499.44
  5. Step 5: Solve for x
    x = 485,243,499.44/32,223.85
  6. Step 6: Final answer
    x = 15,058.52

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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.