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Finding the Fourth Proportional to 55,685.56, 76,849.74 and 30,535.06

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Solution

The fourth proportional to 55,685.56, 76,849.74 and 30,535.06 is: 42,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,685.56 : 76,849.74 = 30,535.06 : x
  2. Step 2: Convert to fraction form
    55,685.56/76,849.74 = 30,535.06/x
  3. Step 3: Cross multiply
    55,685.56x = 76,849.74 × 30,535.06
  4. Step 4: Simplify right side
    55,685.56x = 2,346,611,421.88
  5. Step 5: Solve for x
    x = 2,346,611,421.88/55,685.56
  6. Step 6: Final answer
    x = 42,140.39

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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.