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Finding the Fourth Proportional to 32,214.61, 48,292.76 and 11,433.25

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Solution

The fourth proportional to 32,214.61, 48,292.76 and 11,433.25 is: 17,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.61 : 48,292.76 = 11,433.25 : x
  2. Step 2: Convert to fraction form
    32,214.61/48,292.76 = 11,433.25/x
  3. Step 3: Cross multiply
    32,214.61x = 48,292.76 × 11,433.25
  4. Step 4: Simplify right side
    32,214.61x = 552,143,222.91
  5. Step 5: Solve for x
    x = 552,143,222.91/32,214.61
  6. Step 6: Final answer
    x = 17,139.53

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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.