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Finding the Fourth Proportional to 47,828.52, 66,014.73 and 28,962

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Solution

The fourth proportional to 47,828.52, 66,014.73 and 28,962 is: 39,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828.52 : 66,014.73 = 28,962 : x
  2. Step 2: Convert to fraction form
    47,828.52/66,014.73 = 28,962/x
  3. Step 3: Cross multiply
    47,828.52x = 66,014.73 × 28,962
  4. Step 4: Simplify right side
    47,828.52x = 1,911,918,610.26
  5. Step 5: Solve for x
    x = 1,911,918,610.26/47,828.52
  6. Step 6: Final answer
    x = 39,974.45

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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.