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Finding the Fourth Proportional to 30,710.84, 42,380.46 and 17,282.07

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Solution

The fourth proportional to 30,710.84, 42,380.46 and 17,282.07 is: 23,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.84 : 42,380.46 = 17,282.07 : x
  2. Step 2: Convert to fraction form
    30,710.84/42,380.46 = 17,282.07/x
  3. Step 3: Cross multiply
    30,710.84x = 42,380.46 × 17,282.07
  4. Step 4: Simplify right side
    30,710.84x = 732,422,076.35
  5. Step 5: Solve for x
    x = 732,422,076.35/30,710.84
  6. Step 6: Final answer
    x = 23,848.98

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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.