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Finding the Fourth Proportional to 30,741.18, 46,123.11 and 12,030.18

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Solution

The fourth proportional to 30,741.18, 46,123.11 and 12,030.18 is: 18,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.18 : 46,123.11 = 12,030.18 : x
  2. Step 2: Convert to fraction form
    30,741.18/46,123.11 = 12,030.18/x
  3. Step 3: Cross multiply
    30,741.18x = 46,123.11 × 12,030.18
  4. Step 4: Simplify right side
    30,741.18x = 554,869,315.46
  5. Step 5: Solve for x
    x = 554,869,315.46/30,741.18
  6. Step 6: Final answer
    x = 18,049.71

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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.