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Finding the Fourth Proportional to 56,109, 77,430.42 and 30,958.50

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Solution

The fourth proportional to 56,109, 77,430.42 and 30,958.50 is: 42,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,109 : 77,430.42 = 30,958.50 : x
  2. Step 2: Convert to fraction form
    56,109/77,430.42 = 30,958.50/x
  3. Step 3: Cross multiply
    56,109x = 77,430.42 × 30,958.50
  4. Step 4: Simplify right side
    56,109x = 2,397,129,657.57
  5. Step 5: Solve for x
    x = 2,397,129,657.57/56,109
  6. Step 6: Final answer
    x = 42,722.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.