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Finding the Fourth Proportional to 97,238, 145,881.62 and 27,117.31

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Solution

The fourth proportional to 97,238, 145,881.62 and 27,117.31 is: 40,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238 : 145,881.62 = 27,117.31 : x
  2. Step 2: Convert to fraction form
    97,238/145,881.62 = 27,117.31/x
  3. Step 3: Cross multiply
    97,238x = 145,881.62 × 27,117.31
  4. Step 4: Simplify right side
    97,238x = 3,955,917,112.84
  5. Step 5: Solve for x
    x = 3,955,917,112.84/97,238
  6. Step 6: Final answer
    x = 40,682.83

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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.