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Finding the Fourth Proportional to 30,288.90, 41,775 and 19,681.94

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Solution

The fourth proportional to 30,288.90, 41,775 and 19,681.94 is: 27,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.90 : 41,775 = 19,681.94 : x
  2. Step 2: Convert to fraction form
    30,288.90/41,775 = 19,681.94/x
  3. Step 3: Cross multiply
    30,288.90x = 41,775 × 19,681.94
  4. Step 4: Simplify right side
    30,288.90x = 822,213,043.50
  5. Step 5: Solve for x
    x = 822,213,043.50/30,288.90
  6. Step 6: Final answer
    x = 27,145.69

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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.