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Finding the Fourth Proportional to 32,433.40, 48,614.10 and 12,705.40

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Solution

The fourth proportional to 32,433.40, 48,614.10 and 12,705.40 is: 19,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433.40 : 48,614.10 = 12,705.40 : x
  2. Step 2: Convert to fraction form
    32,433.40/48,614.10 = 12,705.40/x
  3. Step 3: Cross multiply
    32,433.40x = 48,614.10 × 12,705.40
  4. Step 4: Simplify right side
    32,433.40x = 617,661,586.14
  5. Step 5: Solve for x
    x = 617,661,586.14/32,433.40
  6. Step 6: Final answer
    x = 19,044.00

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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.