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Finding the Fourth Proportional to 101,906.32, 152,851.92 and 42,739.60

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Solution

The fourth proportional to 101,906.32, 152,851.92 and 42,739.60 is: 64,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,906.32 : 152,851.92 = 42,739.60 : x
  2. Step 2: Convert to fraction form
    101,906.32/152,851.92 = 42,739.60/x
  3. Step 3: Cross multiply
    101,906.32x = 152,851.92 × 42,739.60
  4. Step 4: Simplify right side
    101,906.32x = 6,532,829,920.03
  5. Step 5: Solve for x
    x = 6,532,829,920.03/101,906.32
  6. Step 6: Final answer
    x = 64,106.23

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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.