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Finding the Fourth Proportional to 30,758.94, 42,449.27 and 17,328.74

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Solution

The fourth proportional to 30,758.94, 42,449.27 and 17,328.74 is: 23,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.94 : 42,449.27 = 17,328.74 : x
  2. Step 2: Convert to fraction form
    30,758.94/42,449.27 = 17,328.74/x
  3. Step 3: Cross multiply
    30,758.94x = 42,449.27 × 17,328.74
  4. Step 4: Simplify right side
    30,758.94x = 735,592,064.13
  5. Step 5: Solve for x
    x = 735,592,064.13/30,758.94
  6. Step 6: Final answer
    x = 23,914.74

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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.