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Finding the Fourth Proportional to 189,184.34, 283,768.31 and 47,026.61

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Solution

The fourth proportional to 189,184.34, 283,768.31 and 47,026.61 is: 70,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,184.34 : 283,768.31 = 47,026.61 : x
  2. Step 2: Convert to fraction form
    189,184.34/283,768.31 = 47,026.61/x
  3. Step 3: Cross multiply
    189,184.34x = 283,768.31 × 47,026.61
  4. Step 4: Simplify right side
    189,184.34x = 13,344,661,407.59
  5. Step 5: Solve for x
    x = 13,344,661,407.59/189,184.34
  6. Step 6: Final answer
    x = 70,537.87

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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.