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Finding the Fourth Proportional to 31,533.84, 47,323.44 and 18,390.24

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Solution

The fourth proportional to 31,533.84, 47,323.44 and 18,390.24 is: 27,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.84 : 47,323.44 = 18,390.24 : x
  2. Step 2: Convert to fraction form
    31,533.84/47,323.44 = 18,390.24/x
  3. Step 3: Cross multiply
    31,533.84x = 47,323.44 × 18,390.24
  4. Step 4: Simplify right side
    31,533.84x = 870,289,419.23
  5. Step 5: Solve for x
    x = 870,289,419.23/31,533.84
  6. Step 6: Final answer
    x = 27,598.59

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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.