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Finding the Fourth Proportional to 46,874.16, 64,684.44 and 28,021.68

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Solution

The fourth proportional to 46,874.16, 64,684.44 and 28,021.68 is: 38,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,874.16 : 64,684.44 = 28,021.68 : x
  2. Step 2: Convert to fraction form
    46,874.16/64,684.44 = 28,021.68/x
  3. Step 3: Cross multiply
    46,874.16x = 64,684.44 × 28,021.68
  4. Step 4: Simplify right side
    46,874.16x = 1,812,566,678.66
  5. Step 5: Solve for x
    x = 1,812,566,678.66/46,874.16
  6. Step 6: Final answer
    x = 38,668.78

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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.