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Finding the Fourth Proportional to 32,495.73, 48,731.25 and 12,763.50

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Solution

The fourth proportional to 32,495.73, 48,731.25 and 12,763.50 is: 19,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.73 : 48,731.25 = 12,763.50 : x
  2. Step 2: Convert to fraction form
    32,495.73/48,731.25 = 12,763.50/x
  3. Step 3: Cross multiply
    32,495.73x = 48,731.25 × 12,763.50
  4. Step 4: Simplify right side
    32,495.73x = 621,981,309.38
  5. Step 5: Solve for x
    x = 621,981,309.38/32,495.73
  6. Step 6: Final answer
    x = 19,140.40

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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.