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Finding the Fourth Proportional to 32,536.92, 48,821.76 and 12,829.60

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Solution

The fourth proportional to 32,536.92, 48,821.76 and 12,829.60 is: 19,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.92 : 48,821.76 = 12,829.60 : x
  2. Step 2: Convert to fraction form
    32,536.92/48,821.76 = 12,829.60/x
  3. Step 3: Cross multiply
    32,536.92x = 48,821.76 × 12,829.60
  4. Step 4: Simplify right side
    32,536.92x = 626,363,652.10
  5. Step 5: Solve for x
    x = 626,363,652.10/32,536.92
  6. Step 6: Final answer
    x = 19,250.86

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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.