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Finding the Fourth Proportional to 42,894.36, 64,297.80 and 26,244

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Solution

The fourth proportional to 42,894.36, 64,297.80 and 26,244 is: 39,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.36 : 64,297.80 = 26,244 : x
  2. Step 2: Convert to fraction form
    42,894.36/64,297.80 = 26,244/x
  3. Step 3: Cross multiply
    42,894.36x = 64,297.80 × 26,244
  4. Step 4: Simplify right side
    42,894.36x = 1,687,431,463.20
  5. Step 5: Solve for x
    x = 1,687,431,463.20/42,894.36
  6. Step 6: Final answer
    x = 39,339.24

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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.