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Finding the Fourth Proportional to 32,190.87, 48,299.87 and 12,483.30

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Solution

The fourth proportional to 32,190.87, 48,299.87 and 12,483.30 is: 18,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.87 : 48,299.87 = 12,483.30 : x
  2. Step 2: Convert to fraction form
    32,190.87/48,299.87 = 12,483.30/x
  3. Step 3: Cross multiply
    32,190.87x = 48,299.87 × 12,483.30
  4. Step 4: Simplify right side
    32,190.87x = 602,941,463.26
  5. Step 5: Solve for x
    x = 602,941,463.26/32,190.87
  6. Step 6: Final answer
    x = 18,730.20

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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.