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Finding the Fourth Proportional to 35,742, 53,578.14 and 17,017

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Solution

The fourth proportional to 35,742, 53,578.14 and 17,017 is: 25,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 53,578.14 = 17,017 : x
  2. Step 2: Convert to fraction form
    35,742/53,578.14 = 17,017/x
  3. Step 3: Cross multiply
    35,742x = 53,578.14 × 17,017
  4. Step 4: Simplify right side
    35,742x = 911,739,208.38
  5. Step 5: Solve for x
    x = 911,739,208.38/35,742
  6. Step 6: Final answer
    x = 25,508.90

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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.