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Finding the Fourth Proportional to 70,658.55, 105,821.64 and 33,137.73

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Solution

The fourth proportional to 70,658.55, 105,821.64 and 33,137.73 is: 49,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,658.55 : 105,821.64 = 33,137.73 : x
  2. Step 2: Convert to fraction form
    70,658.55/105,821.64 = 33,137.73/x
  3. Step 3: Cross multiply
    70,658.55x = 105,821.64 × 33,137.73
  4. Step 4: Simplify right side
    70,658.55x = 3,506,688,934.48
  5. Step 5: Solve for x
    x = 3,506,688,934.48/70,658.55
  6. Step 6: Final answer
    x = 49,628.66

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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.