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Finding the Fourth Proportional to 106,452.70, 159,679.65 and 31,573.41

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Solution

The fourth proportional to 106,452.70, 159,679.65 and 31,573.41 is: 47,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.70 : 159,679.65 = 31,573.41 : x
  2. Step 2: Convert to fraction form
    106,452.70/159,679.65 = 31,573.41/x
  3. Step 3: Cross multiply
    106,452.70x = 159,679.65 × 31,573.41
  4. Step 4: Simplify right side
    106,452.70x = 5,041,630,602.46
  5. Step 5: Solve for x
    x = 5,041,630,602.46/106,452.70
  6. Step 6: Final answer
    x = 47,360.29

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1.5x scale

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.