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Finding the Fourth Proportional to 46,472.76, 69,709.20 and 11,412.12

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Solution

The fourth proportional to 46,472.76, 69,709.20 and 11,412.12 is: 17,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472.76 : 69,709.20 = 11,412.12 : x
  2. Step 2: Convert to fraction form
    46,472.76/69,709.20 = 11,412.12/x
  3. Step 3: Cross multiply
    46,472.76x = 69,709.20 × 11,412.12
  4. Step 4: Simplify right side
    46,472.76x = 795,529,755.50
  5. Step 5: Solve for x
    x = 795,529,755.50/46,472.76
  6. Step 6: Final answer
    x = 17,118.19

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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.