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Finding the Fourth Proportional to 30,568.84, 42,184.50 and 17,140.08

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Solution

The fourth proportional to 30,568.84, 42,184.50 and 17,140.08 is: 23,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.84 : 42,184.50 = 17,140.08 : x
  2. Step 2: Convert to fraction form
    30,568.84/42,184.50 = 17,140.08/x
  3. Step 3: Cross multiply
    30,568.84x = 42,184.50 × 17,140.08
  4. Step 4: Simplify right side
    30,568.84x = 723,045,704.76
  5. Step 5: Solve for x
    x = 723,045,704.76/30,568.84
  6. Step 6: Final answer
    x = 23,653.03

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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.