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Finding the Fourth Proportional to 34,584.96, 47,728.32 and 19,678.08

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Solution

The fourth proportional to 34,584.96, 47,728.32 and 19,678.08 is: 27,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,584.96 : 47,728.32 = 19,678.08 : x
  2. Step 2: Convert to fraction form
    34,584.96/47,728.32 = 19,678.08/x
  3. Step 3: Cross multiply
    34,584.96x = 47,728.32 × 19,678.08
  4. Step 4: Simplify right side
    34,584.96x = 939,201,699.23
  5. Step 5: Solve for x
    x = 939,201,699.23/34,584.96
  6. Step 6: Final answer
    x = 27,156.36

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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.