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Finding the Fourth Proportional to 20,085.81, 30,128.53 and 6,045.76

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Solution

The fourth proportional to 20,085.81, 30,128.53 and 6,045.76 is: 9,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.81 : 30,128.53 = 6,045.76 : x
  2. Step 2: Convert to fraction form
    20,085.81/30,128.53 = 6,045.76/x
  3. Step 3: Cross multiply
    20,085.81x = 30,128.53 × 6,045.76
  4. Step 4: Simplify right side
    20,085.81x = 182,149,861.53
  5. Step 5: Solve for x
    x = 182,149,861.53/20,085.81
  6. Step 6: Final answer
    x = 9,068.58

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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.