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Finding the Fourth Proportional to 30,588.69, 42,209.91 and 17,158.08

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Solution

The fourth proportional to 30,588.69, 42,209.91 and 17,158.08 is: 23,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.69 : 42,209.91 = 17,158.08 : x
  2. Step 2: Convert to fraction form
    30,588.69/42,209.91 = 17,158.08/x
  3. Step 3: Cross multiply
    30,588.69x = 42,209.91 × 17,158.08
  4. Step 4: Simplify right side
    30,588.69x = 724,241,012.57
  5. Step 5: Solve for x
    x = 724,241,012.57/30,588.69
  6. Step 6: Final answer
    x = 23,676.76

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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.