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Finding the Fourth Proportional to 34,431.76, 47,206.38 and 33,809.68

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Solution

The fourth proportional to 34,431.76, 47,206.38 and 33,809.68 is: 46,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,431.76 : 47,206.38 = 33,809.68 : x
  2. Step 2: Convert to fraction form
    34,431.76/47,206.38 = 33,809.68/x
  3. Step 3: Cross multiply
    34,431.76x = 47,206.38 × 33,809.68
  4. Step 4: Simplify right side
    34,431.76x = 1,596,032,601.76
  5. Step 5: Solve for x
    x = 1,596,032,601.76/34,431.76
  6. Step 6: Final answer
    x = 46,353.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.