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Finding the Fourth Proportional to 105,110.74, 157,689.87 and 34,992.82

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Solution

The fourth proportional to 105,110.74, 157,689.87 and 34,992.82 is: 52,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110.74 : 157,689.87 = 34,992.82 : x
  2. Step 2: Convert to fraction form
    105,110.74/157,689.87 = 34,992.82/x
  3. Step 3: Cross multiply
    105,110.74x = 157,689.87 × 34,992.82
  4. Step 4: Simplify right side
    105,110.74x = 5,518,013,236.73
  5. Step 5: Solve for x
    x = 5,518,013,236.73/105,110.74
  6. Step 6: Final answer
    x = 52,497.14

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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.