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Finding the Fourth Proportional to 46,894.68, 70,314.21 and 18,828.05

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Solution

The fourth proportional to 46,894.68, 70,314.21 and 18,828.05 is: 28,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,894.68 : 70,314.21 = 18,828.05 : x
  2. Step 2: Convert to fraction form
    46,894.68/70,314.21 = 18,828.05/x
  3. Step 3: Cross multiply
    46,894.68x = 70,314.21 × 18,828.05
  4. Step 4: Simplify right side
    46,894.68x = 1,323,879,110.02
  5. Step 5: Solve for x
    x = 1,323,879,110.02/46,894.68
  6. Step 6: Final answer
    x = 28,230.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.