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Finding the Fourth Proportional to 32,184.34, 48,276.50 and 12,462.90

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Solution

The fourth proportional to 32,184.34, 48,276.50 and 12,462.90 is: 18,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.34 : 48,276.50 = 12,462.90 : x
  2. Step 2: Convert to fraction form
    32,184.34/48,276.50 = 12,462.90/x
  3. Step 3: Cross multiply
    32,184.34x = 48,276.50 × 12,462.90
  4. Step 4: Simplify right side
    32,184.34x = 601,665,191.85
  5. Step 5: Solve for x
    x = 601,665,191.85/32,184.34
  6. Step 6: Final answer
    x = 18,694.35

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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.