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Finding the Fourth Proportional to 89,706.42, 134,562.72 and 47,529.46

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Solution

The fourth proportional to 89,706.42, 134,562.72 and 47,529.46 is: 71,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706.42 : 134,562.72 = 47,529.46 : x
  2. Step 2: Convert to fraction form
    89,706.42/134,562.72 = 47,529.46/x
  3. Step 3: Cross multiply
    89,706.42x = 134,562.72 × 47,529.46
  4. Step 4: Simplify right side
    89,706.42x = 6,395,693,417.73
  5. Step 5: Solve for x
    x = 6,395,693,417.73/89,706.42
  6. Step 6: Final answer
    x = 71,295.83

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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.