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Finding the Fourth Proportional to 53,189.34, 79,856.91 and 33,409.14

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Solution

The fourth proportional to 53,189.34, 79,856.91 and 33,409.14 is: 50,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,189.34 : 79,856.91 = 33,409.14 : x
  2. Step 2: Convert to fraction form
    53,189.34/79,856.91 = 33,409.14/x
  3. Step 3: Cross multiply
    53,189.34x = 79,856.91 × 33,409.14
  4. Step 4: Simplify right side
    53,189.34x = 2,667,950,686.16
  5. Step 5: Solve for x
    x = 2,667,950,686.16/53,189.34
  6. Step 6: Final answer
    x = 50,159.50

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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.