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Finding the Fourth Proportional to 33,344.64, 45,823.14 and 31,802.76

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Solution

The fourth proportional to 33,344.64, 45,823.14 and 31,802.76 is: 43,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,344.64 : 45,823.14 = 31,802.76 : x
  2. Step 2: Convert to fraction form
    33,344.64/45,823.14 = 31,802.76/x
  3. Step 3: Cross multiply
    33,344.64x = 45,823.14 × 31,802.76
  4. Step 4: Simplify right side
    33,344.64x = 1,457,302,323.87
  5. Step 5: Solve for x
    x = 1,457,302,323.87/33,344.64
  6. Step 6: Final answer
    x = 43,704.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.