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Finding the Fourth Proportional to 26,037, 35,931 and 14,100.30

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Solution

The fourth proportional to 26,037, 35,931 and 14,100.30 is: 19,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,037 : 35,931 = 14,100.30 : x
  2. Step 2: Convert to fraction form
    26,037/35,931 = 14,100.30/x
  3. Step 3: Cross multiply
    26,037x = 35,931 × 14,100.30
  4. Step 4: Simplify right side
    26,037x = 506,637,879.30
  5. Step 5: Solve for x
    x = 506,637,879.30/26,037
  6. Step 6: Final answer
    x = 19,458.38

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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.