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Finding the Fourth Proportional to 32,946.64, 45,510.60 and 31,391.44

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Solution

The fourth proportional to 32,946.64, 45,510.60 and 31,391.44 is: 43,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.64 : 45,510.60 = 31,391.44 : x
  2. Step 2: Convert to fraction form
    32,946.64/45,510.60 = 31,391.44/x
  3. Step 3: Cross multiply
    32,946.64x = 45,510.60 × 31,391.44
  4. Step 4: Simplify right side
    32,946.64x = 1,428,643,269.26
  5. Step 5: Solve for x
    x = 1,428,643,269.26/32,946.64
  6. Step 6: Final answer
    x = 43,362.34

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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.