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Finding the Fourth Proportional to 75,095.67, 112,653.30 and 27,743.93

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Solution

The fourth proportional to 75,095.67, 112,653.30 and 27,743.93 is: 41,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095.67 : 112,653.30 = 27,743.93 : x
  2. Step 2: Convert to fraction form
    75,095.67/112,653.30 = 27,743.93/x
  3. Step 3: Cross multiply
    75,095.67x = 112,653.30 × 27,743.93
  4. Step 4: Simplify right side
    75,095.67x = 3,125,444,706.20
  5. Step 5: Solve for x
    x = 3,125,444,706.20/75,095.67
  6. Step 6: Final answer
    x = 41,619.51

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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.