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Finding the Fourth Proportional to 32,084.96, 48,135.65 and 12,358.22

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Solution

The fourth proportional to 32,084.96, 48,135.65 and 12,358.22 is: 18,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.96 : 48,135.65 = 12,358.22 : x
  2. Step 2: Convert to fraction form
    32,084.96/48,135.65 = 12,358.22/x
  3. Step 3: Cross multiply
    32,084.96x = 48,135.65 × 12,358.22
  4. Step 4: Simplify right side
    32,084.96x = 594,871,011.09
  5. Step 5: Solve for x
    x = 594,871,011.09/32,084.96
  6. Step 6: Final answer
    x = 18,540.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.