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Finding the Fourth Proportional to 30,242.60, 41,698.50 and 25,214.12

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Solution

The fourth proportional to 30,242.60, 41,698.50 and 25,214.12 is: 34,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.60 : 41,698.50 = 25,214.12 : x
  2. Step 2: Convert to fraction form
    30,242.60/41,698.50 = 25,214.12/x
  3. Step 3: Cross multiply
    30,242.60x = 41,698.50 × 25,214.12
  4. Step 4: Simplify right side
    30,242.60x = 1,051,390,982.82
  5. Step 5: Solve for x
    x = 1,051,390,982.82/30,242.60
  6. Step 6: Final answer
    x = 34,765.23

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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.