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Finding the Fourth Proportional to 32,233.40, 48,350.10 and 10,048.57

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Solution

The fourth proportional to 32,233.40, 48,350.10 and 10,048.57 is: 15,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.40 : 48,350.10 = 10,048.57 : x
  2. Step 2: Convert to fraction form
    32,233.40/48,350.10 = 10,048.57/x
  3. Step 3: Cross multiply
    32,233.40x = 48,350.10 × 10,048.57
  4. Step 4: Simplify right side
    32,233.40x = 485,849,364.36
  5. Step 5: Solve for x
    x = 485,849,364.36/32,233.40
  6. Step 6: Final answer
    x = 15,072.86

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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.