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Finding the Fourth Proportional to 30,700.57, 42,369.24 and 17,271.02

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Solution

The fourth proportional to 30,700.57, 42,369.24 and 17,271.02 is: 23,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.57 : 42,369.24 = 17,271.02 : x
  2. Step 2: Convert to fraction form
    30,700.57/42,369.24 = 17,271.02/x
  3. Step 3: Cross multiply
    30,700.57x = 42,369.24 × 17,271.02
  4. Step 4: Simplify right side
    30,700.57x = 731,760,097.35
  5. Step 5: Solve for x
    x = 731,760,097.35/30,700.57
  6. Step 6: Final answer
    x = 23,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.