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Finding the Fourth Proportional to 30,597.34, 42,225 and 17,169.58

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Solution

The fourth proportional to 30,597.34, 42,225 and 17,169.58 is: 23,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.34 : 42,225 = 17,169.58 : x
  2. Step 2: Convert to fraction form
    30,597.34/42,225 = 17,169.58/x
  3. Step 3: Cross multiply
    30,597.34x = 42,225 × 17,169.58
  4. Step 4: Simplify right side
    30,597.34x = 724,985,515.50
  5. Step 5: Solve for x
    x = 724,985,515.50/30,597.34
  6. Step 6: Final answer
    x = 23,694.40

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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.