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Finding the Fourth Proportional to 59,200.16, 81,696.40 and 34,048

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Solution

The fourth proportional to 59,200.16, 81,696.40 and 34,048 is: 46,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,200.16 : 81,696.40 = 34,048 : x
  2. Step 2: Convert to fraction form
    59,200.16/81,696.40 = 34,048/x
  3. Step 3: Cross multiply
    59,200.16x = 81,696.40 × 34,048
  4. Step 4: Simplify right side
    59,200.16x = 2,781,599,027.20
  5. Step 5: Solve for x
    x = 2,781,599,027.20/59,200.16
  6. Step 6: Final answer
    x = 46,986.34

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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.