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Finding the Fourth Proportional to 30,819.84, 42,532.47 and 17,390.31

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Solution

The fourth proportional to 30,819.84, 42,532.47 and 17,390.31 is: 23,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.84 : 42,532.47 = 17,390.31 : x
  2. Step 2: Convert to fraction form
    30,819.84/42,532.47 = 17,390.31/x
  3. Step 3: Cross multiply
    30,819.84x = 42,532.47 × 17,390.31
  4. Step 4: Simplify right side
    30,819.84x = 739,652,838.37
  5. Step 5: Solve for x
    x = 739,652,838.37/30,819.84
  6. Step 6: Final answer
    x = 23,999.24

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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.