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Finding the Fourth Proportional to 30,700.68, 42,364.74 and 17,271.24

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Solution

The fourth proportional to 30,700.68, 42,364.74 and 17,271.24 is: 23,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.68 : 42,364.74 = 17,271.24 : x
  2. Step 2: Convert to fraction form
    30,700.68/42,364.74 = 17,271.24/x
  3. Step 3: Cross multiply
    30,700.68x = 42,364.74 × 17,271.24
  4. Step 4: Simplify right side
    30,700.68x = 731,691,592.08
  5. Step 5: Solve for x
    x = 731,691,592.08/30,700.68
  6. Step 6: Final answer
    x = 23,833.07

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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.