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Finding the Fourth Proportional to 27,405.57, 37,819.79 and 14,830.32

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Solution

The fourth proportional to 27,405.57, 37,819.79 and 14,830.32 is: 20,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.57 : 37,819.79 = 14,830.32 : x
  2. Step 2: Convert to fraction form
    27,405.57/37,819.79 = 14,830.32/x
  3. Step 3: Cross multiply
    27,405.57x = 37,819.79 × 14,830.32
  4. Step 4: Simplify right side
    27,405.57x = 560,879,513.88
  5. Step 5: Solve for x
    x = 560,879,513.88/27,405.57
  6. Step 6: Final answer
    x = 20,465.89

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1.5x scale

Why These Related Problems?

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