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Finding the Fourth Proportional to 34,277.02, 47,288.34 and 22,336

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Solution

The fourth proportional to 34,277.02, 47,288.34 and 22,336 is: 30,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277.02 : 47,288.34 = 22,336 : x
  2. Step 2: Convert to fraction form
    34,277.02/47,288.34 = 22,336/x
  3. Step 3: Cross multiply
    34,277.02x = 47,288.34 × 22,336
  4. Step 4: Simplify right side
    34,277.02x = 1,056,232,362.24
  5. Step 5: Solve for x
    x = 1,056,232,362.24/34,277.02
  6. Step 6: Final answer
    x = 30,814.59

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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.