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Finding the Fourth Proportional to 32,048.79, 48,072.66 and 12,331.62

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Solution

The fourth proportional to 32,048.79, 48,072.66 and 12,331.62 is: 18,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.79 : 48,072.66 = 12,331.62 : x
  2. Step 2: Convert to fraction form
    32,048.79/48,072.66 = 12,331.62/x
  3. Step 3: Cross multiply
    32,048.79x = 48,072.66 × 12,331.62
  4. Step 4: Simplify right side
    32,048.79x = 592,813,775.51
  5. Step 5: Solve for x
    x = 592,813,775.51/32,048.79
  6. Step 6: Final answer
    x = 18,497.23

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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.