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Finding the Fourth Proportional to 32,956, 49,310 and 23,114.48

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Solution

The fourth proportional to 32,956, 49,310 and 23,114.48 is: 34,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956 : 49,310 = 23,114.48 : x
  2. Step 2: Convert to fraction form
    32,956/49,310 = 23,114.48/x
  3. Step 3: Cross multiply
    32,956x = 49,310 × 23,114.48
  4. Step 4: Simplify right side
    32,956x = 1,139,775,008.80
  5. Step 5: Solve for x
    x = 1,139,775,008.80/32,956
  6. Step 6: Final answer
    x = 34,584.75

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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.