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Finding the Fourth Proportional to 30,106.92, 41,545.76 and 16,492.25

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Solution

The fourth proportional to 30,106.92, 41,545.76 and 16,492.25 is: 22,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.92 : 41,545.76 = 16,492.25 : x
  2. Step 2: Convert to fraction form
    30,106.92/41,545.76 = 16,492.25/x
  3. Step 3: Cross multiply
    30,106.92x = 41,545.76 × 16,492.25
  4. Step 4: Simplify right side
    30,106.92x = 685,183,205.46
  5. Step 5: Solve for x
    x = 685,183,205.46/30,106.92
  6. Step 6: Final answer
    x = 22,758.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.