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Finding the Fourth Proportional to 107,051.60, 160,512.60 and 47,876.24

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Solution

The fourth proportional to 107,051.60, 160,512.60 and 47,876.24 is: 71,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,051.60 : 160,512.60 = 47,876.24 : x
  2. Step 2: Convert to fraction form
    107,051.60/160,512.60 = 47,876.24/x
  3. Step 3: Cross multiply
    107,051.60x = 160,512.60 × 47,876.24
  4. Step 4: Simplify right side
    107,051.60x = 7,684,739,760.62
  5. Step 5: Solve for x
    x = 7,684,739,760.62/107,051.60
  6. Step 6: Final answer
    x = 71,785.38

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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.