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Finding the Fourth Proportional to 30,627.84, 42,293 and 19,317.54

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Solution

The fourth proportional to 30,627.84, 42,293 and 19,317.54 is: 26,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.84 : 42,293 = 19,317.54 : x
  2. Step 2: Convert to fraction form
    30,627.84/42,293 = 19,317.54/x
  3. Step 3: Cross multiply
    30,627.84x = 42,293 × 19,317.54
  4. Step 4: Simplify right side
    30,627.84x = 816,996,719.22
  5. Step 5: Solve for x
    x = 816,996,719.22/30,627.84
  6. Step 6: Final answer
    x = 26,674.97

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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.