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Finding the Fourth Proportional to 59,783.94, 89,597.34 and 30,185.46

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Solution

The fourth proportional to 59,783.94, 89,597.34 and 30,185.46 is: 45,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,783.94 : 89,597.34 = 30,185.46 : x
  2. Step 2: Convert to fraction form
    59,783.94/89,597.34 = 30,185.46/x
  3. Step 3: Cross multiply
    59,783.94x = 89,597.34 × 30,185.46
  4. Step 4: Simplify right side
    59,783.94x = 2,704,536,922.68
  5. Step 5: Solve for x
    x = 2,704,536,922.68/59,783.94
  6. Step 6: Final answer
    x = 45,238.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.