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Finding the Fourth Proportional to 110,710.48, 166,064.76 and 31,824.40

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Solution

The fourth proportional to 110,710.48, 166,064.76 and 31,824.40 is: 47,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,710.48 : 166,064.76 = 31,824.40 : x
  2. Step 2: Convert to fraction form
    110,710.48/166,064.76 = 31,824.40/x
  3. Step 3: Cross multiply
    110,710.48x = 166,064.76 × 31,824.40
  4. Step 4: Simplify right side
    110,710.48x = 5,284,911,348.14
  5. Step 5: Solve for x
    x = 5,284,911,348.14/110,710.48
  6. Step 6: Final answer
    x = 47,736.32

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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.