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Finding the Fourth Proportional to 56,023, 77,311.74 and 33,667

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Solution

The fourth proportional to 56,023, 77,311.74 and 33,667 is: 46,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,023 : 77,311.74 = 33,667 : x
  2. Step 2: Convert to fraction form
    56,023/77,311.74 = 33,667/x
  3. Step 3: Cross multiply
    56,023x = 77,311.74 × 33,667
  4. Step 4: Simplify right side
    56,023x = 2,602,854,350.58
  5. Step 5: Solve for x
    x = 2,602,854,350.58/56,023
  6. Step 6: Final answer
    x = 46,460.46

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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.