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Finding the Fourth Proportional to 32,012.20, 48,000.30 and 12,291.40

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Solution

The fourth proportional to 32,012.20, 48,000.30 and 12,291.40 is: 18,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.20 : 48,000.30 = 12,291.40 : x
  2. Step 2: Convert to fraction form
    32,012.20/48,000.30 = 12,291.40/x
  3. Step 3: Cross multiply
    32,012.20x = 48,000.30 × 12,291.40
  4. Step 4: Simplify right side
    32,012.20x = 589,990,887.42
  5. Step 5: Solve for x
    x = 589,990,887.42/32,012.20
  6. Step 6: Final answer
    x = 18,430.19

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