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Finding the Fourth Proportional to 34,712.60, 52,089.62 and 31,889.28

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Solution

The fourth proportional to 34,712.60, 52,089.62 and 31,889.28 is: 47,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,712.60 : 52,089.62 = 31,889.28 : x
  2. Step 2: Convert to fraction form
    34,712.60/52,089.62 = 31,889.28/x
  3. Step 3: Cross multiply
    34,712.60x = 52,089.62 × 31,889.28
  4. Step 4: Simplify right side
    34,712.60x = 1,661,100,477.27
  5. Step 5: Solve for x
    x = 1,661,100,477.27/34,712.60
  6. Step 6: Final answer
    x = 47,852.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.