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Finding the Fourth Proportional to 30,742.65, 42,420.35 and 17,311.23

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Solution

The fourth proportional to 30,742.65, 42,420.35 and 17,311.23 is: 23,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.65 : 42,420.35 = 17,311.23 : x
  2. Step 2: Convert to fraction form
    30,742.65/42,420.35 = 17,311.23/x
  3. Step 3: Cross multiply
    30,742.65x = 42,420.35 × 17,311.23
  4. Step 4: Simplify right side
    30,742.65x = 734,348,435.53
  5. Step 5: Solve for x
    x = 734,348,435.53/30,742.65
  6. Step 6: Final answer
    x = 23,886.96

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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.