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Finding the Fourth Proportional to 31,883.48, 47,584.16 and 31,054.04

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Solution

The fourth proportional to 31,883.48, 47,584.16 and 31,054.04 is: 46,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.48 : 47,584.16 = 31,054.04 : x
  2. Step 2: Convert to fraction form
    31,883.48/47,584.16 = 31,054.04/x
  3. Step 3: Cross multiply
    31,883.48x = 47,584.16 × 31,054.04
  4. Step 4: Simplify right side
    31,883.48x = 1,477,680,408.01
  5. Step 5: Solve for x
    x = 1,477,680,408.01/31,883.48
  6. Step 6: Final answer
    x = 46,346.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.