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Finding the Fourth Proportional to 30,071.80, 45,113.24 and 12,543.14

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Solution

The fourth proportional to 30,071.80, 45,113.24 and 12,543.14 is: 18,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.80 : 45,113.24 = 12,543.14 : x
  2. Step 2: Convert to fraction form
    30,071.80/45,113.24 = 12,543.14/x
  3. Step 3: Cross multiply
    30,071.80x = 45,113.24 × 12,543.14
  4. Step 4: Simplify right side
    30,071.80x = 565,861,685.17
  5. Step 5: Solve for x
    x = 565,861,685.17/30,071.80
  6. Step 6: Final answer
    x = 18,817.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.