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Finding the Fourth Proportional to 32,141.48, 48,243.32 and 15,513.22

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Solution

The fourth proportional to 32,141.48, 48,243.32 and 15,513.22 is: 23,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.48 : 48,243.32 = 15,513.22 : x
  2. Step 2: Convert to fraction form
    32,141.48/48,243.32 = 15,513.22/x
  3. Step 3: Cross multiply
    32,141.48x = 48,243.32 × 15,513.22
  4. Step 4: Simplify right side
    32,141.48x = 748,409,038.52
  5. Step 5: Solve for x
    x = 748,409,038.52/32,141.48
  6. Step 6: Final answer
    x = 23,284.83

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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.