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Finding the Fourth Proportional to 52,837.68, 79,265.44 and 17,769

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Solution

The fourth proportional to 52,837.68, 79,265.44 and 17,769 is: 26,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,837.68 : 79,265.44 = 17,769 : x
  2. Step 2: Convert to fraction form
    52,837.68/79,265.44 = 17,769/x
  3. Step 3: Cross multiply
    52,837.68x = 79,265.44 × 17,769
  4. Step 4: Simplify right side
    52,837.68x = 1,408,467,603.36
  5. Step 5: Solve for x
    x = 1,408,467,603.36/52,837.68
  6. Step 6: Final answer
    x = 26,656.50

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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.