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Finding the Fourth Proportional to 30,587.96, 42,209.46 and 17,159.12

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Solution

The fourth proportional to 30,587.96, 42,209.46 and 17,159.12 is: 23,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587.96 : 42,209.46 = 17,159.12 : x
  2. Step 2: Convert to fraction form
    30,587.96/42,209.46 = 17,159.12/x
  3. Step 3: Cross multiply
    30,587.96x = 42,209.46 × 17,159.12
  4. Step 4: Simplify right side
    30,587.96x = 724,277,189.28
  5. Step 5: Solve for x
    x = 724,277,189.28/30,587.96
  6. Step 6: Final answer
    x = 23,678.51

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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.