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Finding the Fourth Proportional to 32,238.78, 48,341.16 and 10,048.02

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Solution

The fourth proportional to 32,238.78, 48,341.16 and 10,048.02 is: 15,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.78 : 48,341.16 = 10,048.02 : x
  2. Step 2: Convert to fraction form
    32,238.78/48,341.16 = 10,048.02/x
  3. Step 3: Cross multiply
    32,238.78x = 48,341.16 × 10,048.02
  4. Step 4: Simplify right side
    32,238.78x = 485,732,942.50
  5. Step 5: Solve for x
    x = 485,732,942.50/32,238.78
  6. Step 6: Final answer
    x = 15,066.73

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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.