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Finding the Fourth Proportional to 55,555.96, 76,667.10 and 30,405.40

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Solution

The fourth proportional to 55,555.96, 76,667.10 and 30,405.40 is: 41,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,555.96 : 76,667.10 = 30,405.40 : x
  2. Step 2: Convert to fraction form
    55,555.96/76,667.10 = 30,405.40/x
  3. Step 3: Cross multiply
    55,555.96x = 76,667.10 × 30,405.40
  4. Step 4: Simplify right side
    55,555.96x = 2,331,093,842.34
  5. Step 5: Solve for x
    x = 2,331,093,842.34/55,555.96
  6. Step 6: Final answer
    x = 41,959.38

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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.