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Finding the Fourth Proportional to 111,730, 167,596.64 and 27,490.20

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Solution

The fourth proportional to 111,730, 167,596.64 and 27,490.20 is: 41,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,730 : 167,596.64 = 27,490.20 : x
  2. Step 2: Convert to fraction form
    111,730/167,596.64 = 27,490.20/x
  3. Step 3: Cross multiply
    111,730x = 167,596.64 × 27,490.20
  4. Step 4: Simplify right side
    111,730x = 4,607,265,152.93
  5. Step 5: Solve for x
    x = 4,607,265,152.93/111,730
  6. Step 6: Final answer
    x = 41,235.70

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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.