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Finding the Fourth Proportional to 50,346, 75,471.81 and 17,042.76

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Solution

The fourth proportional to 50,346, 75,471.81 and 17,042.76 is: 25,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,346 : 75,471.81 = 17,042.76 : x
  2. Step 2: Convert to fraction form
    50,346/75,471.81 = 17,042.76/x
  3. Step 3: Cross multiply
    50,346x = 75,471.81 × 17,042.76
  4. Step 4: Simplify right side
    50,346x = 1,286,247,944.60
  5. Step 5: Solve for x
    x = 1,286,247,944.60/50,346
  6. Step 6: Final answer
    x = 25,548.17

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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.