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Finding the Fourth Proportional to 30,701.31, 42,368.21 and 17,271.32

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Solution

The fourth proportional to 30,701.31, 42,368.21 and 17,271.32 is: 23,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.31 : 42,368.21 = 17,271.32 : x
  2. Step 2: Convert to fraction form
    30,701.31/42,368.21 = 17,271.32/x
  3. Step 3: Cross multiply
    30,701.31x = 42,368.21 × 17,271.32
  4. Step 4: Simplify right side
    30,701.31x = 731,754,614.54
  5. Step 5: Solve for x
    x = 731,754,614.54/30,701.31
  6. Step 6: Final answer
    x = 23,834.64

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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.