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Finding the Fourth Proportional to 35,156.84, 52,743.72 and 14,380.40

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Solution

The fourth proportional to 35,156.84, 52,743.72 and 14,380.40 is: 21,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156.84 : 52,743.72 = 14,380.40 : x
  2. Step 2: Convert to fraction form
    35,156.84/52,743.72 = 14,380.40/x
  3. Step 3: Cross multiply
    35,156.84x = 52,743.72 × 14,380.40
  4. Step 4: Simplify right side
    35,156.84x = 758,475,791.09
  5. Step 5: Solve for x
    x = 758,475,791.09/35,156.84
  6. Step 6: Final answer
    x = 21,574.06

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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.