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Finding the Fourth Proportional to 30,420.48, 41,980.16 and 17,675.52

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Solution

The fourth proportional to 30,420.48, 41,980.16 and 17,675.52 is: 24,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.48 : 41,980.16 = 17,675.52 : x
  2. Step 2: Convert to fraction form
    30,420.48/41,980.16 = 17,675.52/x
  3. Step 3: Cross multiply
    30,420.48x = 41,980.16 × 17,675.52
  4. Step 4: Simplify right side
    30,420.48x = 742,021,157.68
  5. Step 5: Solve for x
    x = 742,021,157.68/30,420.48
  6. Step 6: Final answer
    x = 24,392.16

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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.