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Finding the Fourth Proportional to 30,704, 42,371.52 and 17,456

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Solution

The fourth proportional to 30,704, 42,371.52 and 17,456 is: 24,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704 : 42,371.52 = 17,456 : x
  2. Step 2: Convert to fraction form
    30,704/42,371.52 = 17,456/x
  3. Step 3: Cross multiply
    30,704x = 42,371.52 × 17,456
  4. Step 4: Simplify right side
    30,704x = 739,637,253.12
  5. Step 5: Solve for x
    x = 739,637,253.12/30,704
  6. Step 6: Final answer
    x = 24,089.28

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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.