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Finding the Fourth Proportional to 35,482, 48,965.49 and 19,567

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Solution

The fourth proportional to 35,482, 48,965.49 and 19,567 is: 27,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482 : 48,965.49 = 19,567 : x
  2. Step 2: Convert to fraction form
    35,482/48,965.49 = 19,567/x
  3. Step 3: Cross multiply
    35,482x = 48,965.49 × 19,567
  4. Step 4: Simplify right side
    35,482x = 958,107,742.83
  5. Step 5: Solve for x
    x = 958,107,742.83/35,482
  6. Step 6: Final answer
    x = 27,002.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.