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Finding the Fourth Proportional to 31,082.40, 46,645.15 and 12,360.67

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Solution

The fourth proportional to 31,082.40, 46,645.15 and 12,360.67 is: 18,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.40 : 46,645.15 = 12,360.67 : x
  2. Step 2: Convert to fraction form
    31,082.40/46,645.15 = 12,360.67/x
  3. Step 3: Cross multiply
    31,082.40x = 46,645.15 × 12,360.67
  4. Step 4: Simplify right side
    31,082.40x = 576,565,306.25
  5. Step 5: Solve for x
    x = 576,565,306.25/31,082.40
  6. Step 6: Final answer
    x = 18,549.57

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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.