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Finding the Fourth Proportional to 30,762.43, 42,452.94 and 17,334.16

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Solution

The fourth proportional to 30,762.43, 42,452.94 and 17,334.16 is: 23,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.43 : 42,452.94 = 17,334.16 : x
  2. Step 2: Convert to fraction form
    30,762.43/42,452.94 = 17,334.16/x
  3. Step 3: Cross multiply
    30,762.43x = 42,452.94 × 17,334.16
  4. Step 4: Simplify right side
    30,762.43x = 735,886,054.43
  5. Step 5: Solve for x
    x = 735,886,054.43/30,762.43
  6. Step 6: Final answer
    x = 23,921.58

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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.