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Finding the Fourth Proportional to 110,957.76, 166,411.80 and 32,054.40

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Solution

The fourth proportional to 110,957.76, 166,411.80 and 32,054.40 is: 48,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,957.76 : 166,411.80 = 32,054.40 : x
  2. Step 2: Convert to fraction form
    110,957.76/166,411.80 = 32,054.40/x
  3. Step 3: Cross multiply
    110,957.76x = 166,411.80 × 32,054.40
  4. Step 4: Simplify right side
    110,957.76x = 5,334,230,401.92
  5. Step 5: Solve for x
    x = 5,334,230,401.92/110,957.76
  6. Step 6: Final answer
    x = 48,074.42

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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.