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Finding the Fourth Proportional to 110,886.40, 166,448.02 and 47,737.80

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Solution

The fourth proportional to 110,886.40, 166,448.02 and 47,737.80 is: 71,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,886.40 : 166,448.02 = 47,737.80 : x
  2. Step 2: Convert to fraction form
    110,886.40/166,448.02 = 47,737.80/x
  3. Step 3: Cross multiply
    110,886.40x = 166,448.02 × 47,737.80
  4. Step 4: Simplify right side
    110,886.40x = 7,945,862,289.16
  5. Step 5: Solve for x
    x = 7,945,862,289.16/110,886.40
  6. Step 6: Final answer
    x = 71,657.68

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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.