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Finding the Fourth Proportional to 32,441.34, 48,667.59 and 10,254.27

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Solution

The fourth proportional to 32,441.34, 48,667.59 and 10,254.27 is: 15,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.34 : 48,667.59 = 10,254.27 : x
  2. Step 2: Convert to fraction form
    32,441.34/48,667.59 = 10,254.27/x
  3. Step 3: Cross multiply
    32,441.34x = 48,667.59 × 10,254.27
  4. Step 4: Simplify right side
    32,441.34x = 499,050,608.11
  5. Step 5: Solve for x
    x = 499,050,608.11/32,441.34
  6. Step 6: Final answer
    x = 15,383.17

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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.