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Finding the Fourth Proportional to 59,188.50, 81,682.56 and 34,038

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Solution

The fourth proportional to 59,188.50, 81,682.56 and 34,038 is: 46,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,188.50 : 81,682.56 = 34,038 : x
  2. Step 2: Convert to fraction form
    59,188.50/81,682.56 = 34,038/x
  3. Step 3: Cross multiply
    59,188.50x = 81,682.56 × 34,038
  4. Step 4: Simplify right side
    59,188.50x = 2,780,310,977.28
  5. Step 5: Solve for x
    x = 2,780,310,977.28/59,188.50
  6. Step 6: Final answer
    x = 46,973.84

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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.