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Finding the Fourth Proportional to 31,220.95, 46,848.44 and 11,496.64

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Solution

The fourth proportional to 31,220.95, 46,848.44 and 11,496.64 is: 17,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220.95 : 46,848.44 = 11,496.64 : x
  2. Step 2: Convert to fraction form
    31,220.95/46,848.44 = 11,496.64/x
  3. Step 3: Cross multiply
    31,220.95x = 46,848.44 × 11,496.64
  4. Step 4: Simplify right side
    31,220.95x = 538,599,649.24
  5. Step 5: Solve for x
    x = 538,599,649.24/31,220.95
  6. Step 6: Final answer
    x = 17,251.23

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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.