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Finding the Fourth Proportional to 70,475.58, 105,506.01 and 47,043.90

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Solution

The fourth proportional to 70,475.58, 105,506.01 and 47,043.90 is: 70,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.58 : 105,506.01 = 47,043.90 : x
  2. Step 2: Convert to fraction form
    70,475.58/105,506.01 = 47,043.90/x
  3. Step 3: Cross multiply
    70,475.58x = 105,506.01 × 47,043.90
  4. Step 4: Simplify right side
    70,475.58x = 4,963,414,183.84
  5. Step 5: Solve for x
    x = 4,963,414,183.84/70,475.58
  6. Step 6: Final answer
    x = 70,427.43

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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.