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Finding the Fourth Proportional to 57,838, 79,816.56 and 31,342

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Solution

The fourth proportional to 57,838, 79,816.56 and 31,342 is: 43,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,838 : 79,816.56 = 31,342 : x
  2. Step 2: Convert to fraction form
    57,838/79,816.56 = 31,342/x
  3. Step 3: Cross multiply
    57,838x = 79,816.56 × 31,342
  4. Step 4: Simplify right side
    57,838x = 2,501,610,623.52
  5. Step 5: Solve for x
    x = 2,501,610,623.52/57,838
  6. Step 6: Final answer
    x = 43,252.03

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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.