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Finding the Fourth Proportional to 32,853.57, 49,315.43 and 14,142.87

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Solution

The fourth proportional to 32,853.57, 49,315.43 and 14,142.87 is: 21,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.57 : 49,315.43 = 14,142.87 : x
  2. Step 2: Convert to fraction form
    32,853.57/49,315.43 = 14,142.87/x
  3. Step 3: Cross multiply
    32,853.57x = 49,315.43 × 14,142.87
  4. Step 4: Simplify right side
    32,853.57x = 697,461,644.77
  5. Step 5: Solve for x
    x = 697,461,644.77/32,853.57
  6. Step 6: Final answer
    x = 21,229.40

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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.