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Finding the Fourth Proportional to 111,690.50, 167,468.31 and 45,053.01

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Solution

The fourth proportional to 111,690.50, 167,468.31 and 45,053.01 is: 67,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,690.50 : 167,468.31 = 45,053.01 : x
  2. Step 2: Convert to fraction form
    111,690.50/167,468.31 = 45,053.01/x
  3. Step 3: Cross multiply
    111,690.50x = 167,468.31 × 45,053.01
  4. Step 4: Simplify right side
    111,690.50x = 7,544,951,445.11
  5. Step 5: Solve for x
    x = 7,544,951,445.11/111,690.50
  6. Step 6: Final answer
    x = 67,552.31

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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.