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Finding the Fourth Proportional to 32,148.54, 48,296.93 and 30,819.96

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Solution

The fourth proportional to 32,148.54, 48,296.93 and 30,819.96 is: 46,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148.54 : 48,296.93 = 30,819.96 : x
  2. Step 2: Convert to fraction form
    32,148.54/48,296.93 = 30,819.96/x
  3. Step 3: Cross multiply
    32,148.54x = 48,296.93 × 30,819.96
  4. Step 4: Simplify right side
    32,148.54x = 1,488,509,296.62
  5. Step 5: Solve for x
    x = 1,488,509,296.62/32,148.54
  6. Step 6: Final answer
    x = 46,300.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.