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Finding the Fourth Proportional to 56,201.96, 77,534.34 and 33,833

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Solution

The fourth proportional to 56,201.96, 77,534.34 and 33,833 is: 46,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,201.96 : 77,534.34 = 33,833 : x
  2. Step 2: Convert to fraction form
    56,201.96/77,534.34 = 33,833/x
  3. Step 3: Cross multiply
    56,201.96x = 77,534.34 × 33,833
  4. Step 4: Simplify right side
    56,201.96x = 2,623,219,325.22
  5. Step 5: Solve for x
    x = 2,623,219,325.22/56,201.96
  6. Step 6: Final answer
    x = 46,674.87

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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.