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Finding the Fourth Proportional to 32,149.89, 48,222.45 and 10,802.75

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Solution

The fourth proportional to 32,149.89, 48,222.45 and 10,802.75 is: 16,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.89 : 48,222.45 = 10,802.75 : x
  2. Step 2: Convert to fraction form
    32,149.89/48,222.45 = 10,802.75/x
  3. Step 3: Cross multiply
    32,149.89x = 48,222.45 × 10,802.75
  4. Step 4: Simplify right side
    32,149.89x = 520,934,830.63
  5. Step 5: Solve for x
    x = 520,934,830.63/32,149.89
  6. Step 6: Final answer
    x = 16,203.32

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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.