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Finding the Fourth Proportional to 32,384.70, 48,582.26 and 13,667.46

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Solution

The fourth proportional to 32,384.70, 48,582.26 and 13,667.46 is: 20,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.70 : 48,582.26 = 13,667.46 : x
  2. Step 2: Convert to fraction form
    32,384.70/48,582.26 = 13,667.46/x
  3. Step 3: Cross multiply
    32,384.70x = 48,582.26 × 13,667.46
  4. Step 4: Simplify right side
    32,384.70x = 663,996,026.92
  5. Step 5: Solve for x
    x = 663,996,026.92/32,384.70
  6. Step 6: Final answer
    x = 20,503.39

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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.