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Finding the Fourth Proportional to 38,073.16, 57,081.66 and 14,689

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Solution

The fourth proportional to 38,073.16, 57,081.66 and 14,689 is: 22,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,073.16 : 57,081.66 = 14,689 : x
  2. Step 2: Convert to fraction form
    38,073.16/57,081.66 = 14,689/x
  3. Step 3: Cross multiply
    38,073.16x = 57,081.66 × 14,689
  4. Step 4: Simplify right side
    38,073.16x = 838,472,503.74
  5. Step 5: Solve for x
    x = 838,472,503.74/38,073.16
  6. Step 6: Final answer
    x = 22,022.67

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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.