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Finding the Fourth Proportional to 92,095.25, 138,112.50 and 29,751.17

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Solution

The fourth proportional to 92,095.25, 138,112.50 and 29,751.17 is: 44,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,095.25 : 138,112.50 = 29,751.17 : x
  2. Step 2: Convert to fraction form
    92,095.25/138,112.50 = 29,751.17/x
  3. Step 3: Cross multiply
    92,095.25x = 138,112.50 × 29,751.17
  4. Step 4: Simplify right side
    92,095.25x = 4,109,008,466.63
  5. Step 5: Solve for x
    x = 4,109,008,466.63/92,095.25
  6. Step 6: Final answer
    x = 44,616.94

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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.