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Finding the Fourth Proportional to 30,277.90, 41,784.71 and 18,334.50

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Solution

The fourth proportional to 30,277.90, 41,784.71 and 18,334.50 is: 25,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.90 : 41,784.71 = 18,334.50 : x
  2. Step 2: Convert to fraction form
    30,277.90/41,784.71 = 18,334.50/x
  3. Step 3: Cross multiply
    30,277.90x = 41,784.71 × 18,334.50
  4. Step 4: Simplify right side
    30,277.90x = 766,101,765.50
  5. Step 5: Solve for x
    x = 766,101,765.50/30,277.90
  6. Step 6: Final answer
    x = 25,302.34

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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.