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Finding the Fourth Proportional to 94,843.36, 142,280.40 and 29,164

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Solution

The fourth proportional to 94,843.36, 142,280.40 and 29,164 is: 43,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,843.36 : 142,280.40 = 29,164 : x
  2. Step 2: Convert to fraction form
    94,843.36/142,280.40 = 29,164/x
  3. Step 3: Cross multiply
    94,843.36x = 142,280.40 × 29,164
  4. Step 4: Simplify right side
    94,843.36x = 4,149,465,585.60
  5. Step 5: Solve for x
    x = 4,149,465,585.60/94,843.36
  6. Step 6: Final answer
    x = 43,750.72

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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.