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Finding the Fourth Proportional to 59,391.60, 81,967.32 and 34,242

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Solution

The fourth proportional to 59,391.60, 81,967.32 and 34,242 is: 47,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,391.60 : 81,967.32 = 34,242 : x
  2. Step 2: Convert to fraction form
    59,391.60/81,967.32 = 34,242/x
  3. Step 3: Cross multiply
    59,391.60x = 81,967.32 × 34,242
  4. Step 4: Simplify right side
    59,391.60x = 2,806,724,971.44
  5. Step 5: Solve for x
    x = 2,806,724,971.44/59,391.60
  6. Step 6: Final answer
    x = 47,257.95

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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.