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Finding the Fourth Proportional to 55,561.50, 76,674.87 and 30,411

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Solution

The fourth proportional to 55,561.50, 76,674.87 and 30,411 is: 41,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,561.50 : 76,674.87 = 30,411 : x
  2. Step 2: Convert to fraction form
    55,561.50/76,674.87 = 30,411/x
  3. Step 3: Cross multiply
    55,561.50x = 76,674.87 × 30,411
  4. Step 4: Simplify right side
    55,561.50x = 2,331,759,471.57
  5. Step 5: Solve for x
    x = 2,331,759,471.57/55,561.50
  6. Step 6: Final answer
    x = 41,967.18

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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.