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Finding the Fourth Proportional to 102,323.93, 153,473.54 and 27,449.75

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Solution

The fourth proportional to 102,323.93, 153,473.54 and 27,449.75 is: 41,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,323.93 : 153,473.54 = 27,449.75 : x
  2. Step 2: Convert to fraction form
    102,323.93/153,473.54 = 27,449.75/x
  3. Step 3: Cross multiply
    102,323.93x = 153,473.54 × 27,449.75
  4. Step 4: Simplify right side
    102,323.93x = 4,212,810,551.05
  5. Step 5: Solve for x
    x = 4,212,810,551.05/102,323.93
  6. Step 6: Final answer
    x = 41,171.32

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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.