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Finding the Fourth Proportional to 34,911.76, 48,180 and 32,451.52

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Solution

The fourth proportional to 34,911.76, 48,180 and 32,451.52 is: 44,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,911.76 : 48,180 = 32,451.52 : x
  2. Step 2: Convert to fraction form
    34,911.76/48,180 = 32,451.52/x
  3. Step 3: Cross multiply
    34,911.76x = 48,180 × 32,451.52
  4. Step 4: Simplify right side
    34,911.76x = 1,563,514,233.60
  5. Step 5: Solve for x
    x = 1,563,514,233.60/34,911.76
  6. Step 6: Final answer
    x = 44,784.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.