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Finding the Fourth Proportional to 30,102.53, 41,543.84 and 16,675.06

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Solution

The fourth proportional to 30,102.53, 41,543.84 and 16,675.06 is: 23,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.53 : 41,543.84 = 16,675.06 : x
  2. Step 2: Convert to fraction form
    30,102.53/41,543.84 = 16,675.06/x
  3. Step 3: Cross multiply
    30,102.53x = 41,543.84 × 16,675.06
  4. Step 4: Simplify right side
    30,102.53x = 692,745,941.26
  5. Step 5: Solve for x
    x = 692,745,941.26/30,102.53
  6. Step 6: Final answer
    x = 23,012.88

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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.