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Finding the Fourth Proportional to 50,803.26, 70,142.73 and 31,712.10

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Solution

The fourth proportional to 50,803.26, 70,142.73 and 31,712.10 is: 43,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803.26 : 70,142.73 = 31,712.10 : x
  2. Step 2: Convert to fraction form
    50,803.26/70,142.73 = 31,712.10/x
  3. Step 3: Cross multiply
    50,803.26x = 70,142.73 × 31,712.10
  4. Step 4: Simplify right side
    50,803.26x = 2,224,372,758.76
  5. Step 5: Solve for x
    x = 2,224,372,758.76/50,803.26
  6. Step 6: Final answer
    x = 43,784.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.