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Finding the Fourth Proportional to 32,902.34, 45,401.73 and 19,474.16

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Solution

The fourth proportional to 32,902.34, 45,401.73 and 19,474.16 is: 26,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.34 : 45,401.73 = 19,474.16 : x
  2. Step 2: Convert to fraction form
    32,902.34/45,401.73 = 19,474.16/x
  3. Step 3: Cross multiply
    32,902.34x = 45,401.73 × 19,474.16
  4. Step 4: Simplify right side
    32,902.34x = 884,160,554.30
  5. Step 5: Solve for x
    x = 884,160,554.30/32,902.34
  6. Step 6: Final answer
    x = 26,872.27

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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.