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Finding the Fourth Proportional to 110,978.99, 166,473.35 and 32,101.19

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Solution

The fourth proportional to 110,978.99, 166,473.35 and 32,101.19 is: 48,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978.99 : 166,473.35 = 32,101.19 : x
  2. Step 2: Convert to fraction form
    110,978.99/166,473.35 = 32,101.19/x
  3. Step 3: Cross multiply
    110,978.99x = 166,473.35 × 32,101.19
  4. Step 4: Simplify right side
    110,978.99x = 5,343,992,638.29
  5. Step 5: Solve for x
    x = 5,343,992,638.29/110,978.99
  6. Step 6: Final answer
    x = 48,153.19

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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.