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Finding the Fourth Proportional to 57,224.52, 78,968.94 and 31,383

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Solution

The fourth proportional to 57,224.52, 78,968.94 and 31,383 is: 43,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224.52 : 78,968.94 = 31,383 : x
  2. Step 2: Convert to fraction form
    57,224.52/78,968.94 = 31,383/x
  3. Step 3: Cross multiply
    57,224.52x = 78,968.94 × 31,383
  4. Step 4: Simplify right side
    57,224.52x = 2,478,282,244.02
  5. Step 5: Solve for x
    x = 2,478,282,244.02/57,224.52
  6. Step 6: Final answer
    x = 43,308.05

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1.5x scale

Why These Related Problems?

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