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Finding the Fourth Proportional to 70,438.94, 105,602.81 and 34,912.49

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Solution

The fourth proportional to 70,438.94, 105,602.81 and 34,912.49 is: 52,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438.94 : 105,602.81 = 34,912.49 : x
  2. Step 2: Convert to fraction form
    70,438.94/105,602.81 = 34,912.49/x
  3. Step 3: Cross multiply
    70,438.94x = 105,602.81 × 34,912.49
  4. Step 4: Simplify right side
    70,438.94x = 3,686,856,871.37
  5. Step 5: Solve for x
    x = 3,686,856,871.37/70,438.94
  6. Step 6: Final answer
    x = 52,341.18

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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.