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Finding the Fourth Proportional to 55,561, 76,674.90 and 30,409.96

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Solution

The fourth proportional to 55,561, 76,674.90 and 30,409.96 is: 41,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,561 : 76,674.90 = 30,409.96 : x
  2. Step 2: Convert to fraction form
    55,561/76,674.90 = 30,409.96/x
  3. Step 3: Cross multiply
    55,561x = 76,674.90 × 30,409.96
  4. Step 4: Simplify right side
    55,561x = 2,331,680,642.00
  5. Step 5: Solve for x
    x = 2,331,680,642.00/55,561
  6. Step 6: Final answer
    x = 41,966.14

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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.