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Finding the Fourth Proportional to 110,939.76, 166,384.80 and 32,036.40

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Solution

The fourth proportional to 110,939.76, 166,384.80 and 32,036.40 is: 48,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,939.76 : 166,384.80 = 32,036.40 : x
  2. Step 2: Convert to fraction form
    110,939.76/166,384.80 = 32,036.40/x
  3. Step 3: Cross multiply
    110,939.76x = 166,384.80 × 32,036.40
  4. Step 4: Simplify right side
    110,939.76x = 5,330,370,006.72
  5. Step 5: Solve for x
    x = 5,330,370,006.72/110,939.76
  6. Step 6: Final answer
    x = 48,047.43

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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.