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Finding the Fourth Proportional to 30,814.60, 46,207.26 and 15,214

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Solution

The fourth proportional to 30,814.60, 46,207.26 and 15,214 is: 22,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.60 : 46,207.26 = 15,214 : x
  2. Step 2: Convert to fraction form
    30,814.60/46,207.26 = 15,214/x
  3. Step 3: Cross multiply
    30,814.60x = 46,207.26 × 15,214
  4. Step 4: Simplify right side
    30,814.60x = 702,997,253.64
  5. Step 5: Solve for x
    x = 702,997,253.64/30,814.60
  6. Step 6: Final answer
    x = 22,813.77

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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.