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Finding the Fourth Proportional to 46,886, 70,325.34 and 20,590.96

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Solution

The fourth proportional to 46,886, 70,325.34 and 20,590.96 is: 30,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,886 : 70,325.34 = 20,590.96 : x
  2. Step 2: Convert to fraction form
    46,886/70,325.34 = 20,590.96/x
  3. Step 3: Cross multiply
    46,886x = 70,325.34 × 20,590.96
  4. Step 4: Simplify right side
    46,886x = 1,448,066,262.93
  5. Step 5: Solve for x
    x = 1,448,066,262.93/46,886
  6. Step 6: Final answer
    x = 30,884.83

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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.