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Finding the Fourth Proportional to 30,710.61, 42,378.87 and 17,281.05

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Solution

The fourth proportional to 30,710.61, 42,378.87 and 17,281.05 is: 23,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.61 : 42,378.87 = 17,281.05 : x
  2. Step 2: Convert to fraction form
    30,710.61/42,378.87 = 17,281.05/x
  3. Step 3: Cross multiply
    30,710.61x = 42,378.87 × 17,281.05
  4. Step 4: Simplify right side
    30,710.61x = 732,351,371.41
  5. Step 5: Solve for x
    x = 732,351,371.41/30,710.61
  6. Step 6: Final answer
    x = 23,846.85

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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.