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Finding the Fourth Proportional to 30,882.48, 42,617.52 and 16,735.08

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Solution

The fourth proportional to 30,882.48, 42,617.52 and 16,735.08 is: 23,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.48 : 42,617.52 = 16,735.08 : x
  2. Step 2: Convert to fraction form
    30,882.48/42,617.52 = 16,735.08/x
  3. Step 3: Cross multiply
    30,882.48x = 42,617.52 × 16,735.08
  4. Step 4: Simplify right side
    30,882.48x = 713,207,606.60
  5. Step 5: Solve for x
    x = 713,207,606.60/30,882.48
  6. Step 6: Final answer
    x = 23,094.25

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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.