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Finding the Fourth Proportional to 30,700.63, 42,367.07 and 17,271.77

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Solution

The fourth proportional to 30,700.63, 42,367.07 and 17,271.77 is: 23,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.63 : 42,367.07 = 17,271.77 : x
  2. Step 2: Convert to fraction form
    30,700.63/42,367.07 = 17,271.77/x
  3. Step 3: Cross multiply
    30,700.63x = 42,367.07 × 17,271.77
  4. Step 4: Simplify right side
    30,700.63x = 731,754,202.26
  5. Step 5: Solve for x
    x = 731,754,202.26/30,700.63
  6. Step 6: Final answer
    x = 23,835.16

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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.