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Finding the Fourth Proportional to 32,072.97, 48,119.91 and 15,434.34

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Solution

The fourth proportional to 32,072.97, 48,119.91 and 15,434.34 is: 23,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.97 : 48,119.91 = 15,434.34 : x
  2. Step 2: Convert to fraction form
    32,072.97/48,119.91 = 15,434.34/x
  3. Step 3: Cross multiply
    32,072.97x = 48,119.91 × 15,434.34
  4. Step 4: Simplify right side
    32,072.97x = 742,699,051.71
  5. Step 5: Solve for x
    x = 742,699,051.71/32,072.97
  6. Step 6: Final answer
    x = 23,156.54

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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.