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Finding the Fourth Proportional to 35,171, 48,536 and 19,256.46

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Solution

The fourth proportional to 35,171, 48,536 and 19,256.46 is: 26,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,171 : 48,536 = 19,256.46 : x
  2. Step 2: Convert to fraction form
    35,171/48,536 = 19,256.46/x
  3. Step 3: Cross multiply
    35,171x = 48,536 × 19,256.46
  4. Step 4: Simplify right side
    35,171x = 934,631,542.56
  5. Step 5: Solve for x
    x = 934,631,542.56/35,171
  6. Step 6: Final answer
    x = 26,573.93

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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.