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Finding the Fourth Proportional to 30,981.60, 46,502.91 and 22,106.70

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Solution

The fourth proportional to 30,981.60, 46,502.91 and 22,106.70 is: 33,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.60 : 46,502.91 = 22,106.70 : x
  2. Step 2: Convert to fraction form
    30,981.60/46,502.91 = 22,106.70/x
  3. Step 3: Cross multiply
    30,981.60x = 46,502.91 × 22,106.70
  4. Step 4: Simplify right side
    30,981.60x = 1,028,025,880.50
  5. Step 5: Solve for x
    x = 1,028,025,880.50/30,981.60
  6. Step 6: Final answer
    x = 33,181.82

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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.