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Finding the Fourth Proportional to 106,525.80, 159,750.90 and 47,255.40

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Solution

The fourth proportional to 106,525.80, 159,750.90 and 47,255.40 is: 70,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.80 : 159,750.90 = 47,255.40 : x
  2. Step 2: Convert to fraction form
    106,525.80/159,750.90 = 47,255.40/x
  3. Step 3: Cross multiply
    106,525.80x = 159,750.90 × 47,255.40
  4. Step 4: Simplify right side
    106,525.80x = 7,549,092,679.86
  5. Step 5: Solve for x
    x = 7,549,092,679.86/106,525.80
  6. Step 6: Final answer
    x = 70,866.33

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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.