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Finding the Fourth Proportional to 35,224.32, 52,857.94 and 14,160.40

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Solution

The fourth proportional to 35,224.32, 52,857.94 and 14,160.40 is: 21,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.32 : 52,857.94 = 14,160.40 : x
  2. Step 2: Convert to fraction form
    35,224.32/52,857.94 = 14,160.40/x
  3. Step 3: Cross multiply
    35,224.32x = 52,857.94 × 14,160.40
  4. Step 4: Simplify right side
    35,224.32x = 748,489,573.58
  5. Step 5: Solve for x
    x = 748,489,573.58/35,224.32
  6. Step 6: Final answer
    x = 21,249.23

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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.