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Finding the Fourth Proportional to 30,629.32, 42,272.20 and 17,201.16

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Solution

The fourth proportional to 30,629.32, 42,272.20 and 17,201.16 is: 23,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,629.32 : 42,272.20 = 17,201.16 : x
  2. Step 2: Convert to fraction form
    30,629.32/42,272.20 = 17,201.16/x
  3. Step 3: Cross multiply
    30,629.32x = 42,272.20 × 17,201.16
  4. Step 4: Simplify right side
    30,629.32x = 727,130,875.75
  5. Step 5: Solve for x
    x = 727,130,875.75/30,629.32
  6. Step 6: Final answer
    x = 23,739.70

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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.