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Finding the Fourth Proportional to 32,222.34, 48,276.33 and 13,461.11

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Solution

The fourth proportional to 32,222.34, 48,276.33 and 13,461.11 is: 20,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.34 : 48,276.33 = 13,461.11 : x
  2. Step 2: Convert to fraction form
    32,222.34/48,276.33 = 13,461.11/x
  3. Step 3: Cross multiply
    32,222.34x = 48,276.33 × 13,461.11
  4. Step 4: Simplify right side
    32,222.34x = 649,852,747.14
  5. Step 5: Solve for x
    x = 649,852,747.14/32,222.34
  6. Step 6: Final answer
    x = 20,167.77

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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.