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Finding the Fourth Proportional to 35,874.24, 53,742.24 and 17,419.20

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Solution

The fourth proportional to 35,874.24, 53,742.24 and 17,419.20 is: 26,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.24 : 53,742.24 = 17,419.20 : x
  2. Step 2: Convert to fraction form
    35,874.24/53,742.24 = 17,419.20/x
  3. Step 3: Cross multiply
    35,874.24x = 53,742.24 × 17,419.20
  4. Step 4: Simplify right side
    35,874.24x = 936,146,827.01
  5. Step 5: Solve for x
    x = 936,146,827.01/35,874.24
  6. Step 6: Final answer
    x = 26,095.24

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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.