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Finding the Fourth Proportional to 35,411.64, 53,125.04 and 14,351.44

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Solution

The fourth proportional to 35,411.64, 53,125.04 and 14,351.44 is: 21,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.64 : 53,125.04 = 14,351.44 : x
  2. Step 2: Convert to fraction form
    35,411.64/53,125.04 = 14,351.44/x
  3. Step 3: Cross multiply
    35,411.64x = 53,125.04 × 14,351.44
  4. Step 4: Simplify right side
    35,411.64x = 762,420,824.06
  5. Step 5: Solve for x
    x = 762,420,824.06/35,411.64
  6. Step 6: Final answer
    x = 21,530.23

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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.