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Finding the Fourth Proportional to 30,707.49, 42,378.48 and 17,280.03

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Solution

The fourth proportional to 30,707.49, 42,378.48 and 17,280.03 is: 23,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.49 : 42,378.48 = 17,280.03 : x
  2. Step 2: Convert to fraction form
    30,707.49/42,378.48 = 17,280.03/x
  3. Step 3: Cross multiply
    30,707.49x = 42,378.48 × 17,280.03
  4. Step 4: Simplify right side
    30,707.49x = 732,301,405.75
  5. Step 5: Solve for x
    x = 732,301,405.75/30,707.49
  6. Step 6: Final answer
    x = 23,847.65

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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.