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Finding the Fourth Proportional to 46,827.48, 70,241.22 and 11,767.14

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Solution

The fourth proportional to 46,827.48, 70,241.22 and 11,767.14 is: 17,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,827.48 : 70,241.22 = 11,767.14 : x
  2. Step 2: Convert to fraction form
    46,827.48/70,241.22 = 11,767.14/x
  3. Step 3: Cross multiply
    46,827.48x = 70,241.22 × 11,767.14
  4. Step 4: Simplify right side
    46,827.48x = 826,538,269.51
  5. Step 5: Solve for x
    x = 826,538,269.51/46,827.48
  6. Step 6: Final answer
    x = 17,650.71

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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.