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Finding the Fourth Proportional to 32,942.16, 45,425.16 and 26,214.48

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Solution

The fourth proportional to 32,942.16, 45,425.16 and 26,214.48 is: 36,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.16 : 45,425.16 = 26,214.48 : x
  2. Step 2: Convert to fraction form
    32,942.16/45,425.16 = 26,214.48/x
  3. Step 3: Cross multiply
    32,942.16x = 45,425.16 × 26,214.48
  4. Step 4: Simplify right side
    32,942.16x = 1,190,796,948.32
  5. Step 5: Solve for x
    x = 1,190,796,948.32/32,942.16
  6. Step 6: Final answer
    x = 36,148.11

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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.