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Finding the Fourth Proportional to 34,353.12, 47,410.08 and 19,249.16

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Solution

The fourth proportional to 34,353.12, 47,410.08 and 19,249.16 is: 26,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,353.12 : 47,410.08 = 19,249.16 : x
  2. Step 2: Convert to fraction form
    34,353.12/47,410.08 = 19,249.16/x
  3. Step 3: Cross multiply
    34,353.12x = 47,410.08 × 19,249.16
  4. Step 4: Simplify right side
    34,353.12x = 912,603,978.48
  5. Step 5: Solve for x
    x = 912,603,978.48/34,353.12
  6. Step 6: Final answer
    x = 26,565.39

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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.