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Finding the Fourth Proportional to 111,281.48, 166,947.66 and 37,409.48

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Solution

The fourth proportional to 111,281.48, 166,947.66 and 37,409.48 is: 56,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,281.48 : 166,947.66 = 37,409.48 : x
  2. Step 2: Convert to fraction form
    111,281.48/166,947.66 = 37,409.48/x
  3. Step 3: Cross multiply
    111,281.48x = 166,947.66 × 37,409.48
  4. Step 4: Simplify right side
    111,281.48x = 6,245,425,147.82
  5. Step 5: Solve for x
    x = 6,245,425,147.82/111,281.48
  6. Step 6: Final answer
    x = 56,122.77

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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.