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Finding the Fourth Proportional to 31,802.14, 43,928.29 and 24,202.32

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Solution

The fourth proportional to 31,802.14, 43,928.29 and 24,202.32 is: 33,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.14 : 43,928.29 = 24,202.32 : x
  2. Step 2: Convert to fraction form
    31,802.14/43,928.29 = 24,202.32/x
  3. Step 3: Cross multiply
    31,802.14x = 43,928.29 × 24,202.32
  4. Step 4: Simplify right side
    31,802.14x = 1,063,166,531.63
  5. Step 5: Solve for x
    x = 1,063,166,531.63/31,802.14
  6. Step 6: Final answer
    x = 33,430.66

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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.