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Finding the Fourth Proportional to 75,356, 113,054.16 and 26,108

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Solution

The fourth proportional to 75,356, 113,054.16 and 26,108 is: 39,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356 : 113,054.16 = 26,108 : x
  2. Step 2: Convert to fraction form
    75,356/113,054.16 = 26,108/x
  3. Step 3: Cross multiply
    75,356x = 113,054.16 × 26,108
  4. Step 4: Simplify right side
    75,356x = 2,951,618,009.28
  5. Step 5: Solve for x
    x = 2,951,618,009.28/75,356
  6. Step 6: Final answer
    x = 39,168.98

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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.