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Finding the Fourth Proportional to 46,364.86, 69,546.53 and 14,774.49

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Solution

The fourth proportional to 46,364.86, 69,546.53 and 14,774.49 is: 22,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,364.86 : 69,546.53 = 14,774.49 : x
  2. Step 2: Convert to fraction form
    46,364.86/69,546.53 = 14,774.49/x
  3. Step 3: Cross multiply
    46,364.86x = 69,546.53 × 14,774.49
  4. Step 4: Simplify right side
    46,364.86x = 1,027,514,744.56
  5. Step 5: Solve for x
    x = 1,027,514,744.56/46,364.86
  6. Step 6: Final answer
    x = 22,161.50

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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.