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Finding the Fourth Proportional to 93,494.25, 140,242.59 and 31,164.75

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Solution

The fourth proportional to 93,494.25, 140,242.59 and 31,164.75 is: 46,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,494.25 : 140,242.59 = 31,164.75 : x
  2. Step 2: Convert to fraction form
    93,494.25/140,242.59 = 31,164.75/x
  3. Step 3: Cross multiply
    93,494.25x = 140,242.59 × 31,164.75
  4. Step 4: Simplify right side
    93,494.25x = 4,370,625,256.70
  5. Step 5: Solve for x
    x = 4,370,625,256.70/93,494.25
  6. Step 6: Final answer
    x = 46,747.53

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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.