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Finding the Fourth Proportional to 110,854.16, 166,281.48 and 27,748.40

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Solution

The fourth proportional to 110,854.16, 166,281.48 and 27,748.40 is: 41,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,854.16 : 166,281.48 = 27,748.40 : x
  2. Step 2: Convert to fraction form
    110,854.16/166,281.48 = 27,748.40/x
  3. Step 3: Cross multiply
    110,854.16x = 166,281.48 × 27,748.40
  4. Step 4: Simplify right side
    110,854.16x = 4,614,045,019.63
  5. Step 5: Solve for x
    x = 4,614,045,019.63/110,854.16
  6. Step 6: Final answer
    x = 41,622.66

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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.