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Finding the Fourth Proportional to 46,305, 69,457.44 and 11,244.60

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Solution

The fourth proportional to 46,305, 69,457.44 and 11,244.60 is: 16,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,305 : 69,457.44 = 11,244.60 : x
  2. Step 2: Convert to fraction form
    46,305/69,457.44 = 11,244.60/x
  3. Step 3: Cross multiply
    46,305x = 69,457.44 × 11,244.60
  4. Step 4: Simplify right side
    46,305x = 781,021,129.82
  5. Step 5: Solve for x
    x = 781,021,129.82/46,305
  6. Step 6: Final answer
    x = 16,866.89

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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.