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Finding the Fourth Proportional to 57,004.34, 78,664.38 and 31,853.84

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Solution

The fourth proportional to 57,004.34, 78,664.38 and 31,853.84 is: 43,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,004.34 : 78,664.38 = 31,853.84 : x
  2. Step 2: Convert to fraction form
    57,004.34/78,664.38 = 31,853.84/x
  3. Step 3: Cross multiply
    57,004.34x = 78,664.38 × 31,853.84
  4. Step 4: Simplify right side
    57,004.34x = 2,505,762,574.22
  5. Step 5: Solve for x
    x = 2,505,762,574.22/57,004.34
  6. Step 6: Final answer
    x = 43,957.40

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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.