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Finding the Fourth Proportional to 30,584.51, 42,206.37 and 17,155.48

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Solution

The fourth proportional to 30,584.51, 42,206.37 and 17,155.48 is: 23,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.51 : 42,206.37 = 17,155.48 : x
  2. Step 2: Convert to fraction form
    30,584.51/42,206.37 = 17,155.48/x
  3. Step 3: Cross multiply
    30,584.51x = 42,206.37 × 17,155.48
  4. Step 4: Simplify right side
    30,584.51x = 724,070,356.67
  5. Step 5: Solve for x
    x = 724,070,356.67/30,584.51
  6. Step 6: Final answer
    x = 23,674.41

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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.