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Finding the Fourth Proportional to 56,202.84, 77,559 and 30,708.65

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Solution

The fourth proportional to 56,202.84, 77,559 and 30,708.65 is: 42,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.84 : 77,559 = 30,708.65 : x
  2. Step 2: Convert to fraction form
    56,202.84/77,559 = 30,708.65/x
  3. Step 3: Cross multiply
    56,202.84x = 77,559 × 30,708.65
  4. Step 4: Simplify right side
    56,202.84x = 2,381,731,797.56
  5. Step 5: Solve for x
    x = 2,381,731,797.56/56,202.84
  6. Step 6: Final answer
    x = 42,377.43

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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.