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Finding the Fourth Proportional to 46,667.17, 69,978.86 and 17,064.30

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Solution

The fourth proportional to 46,667.17, 69,978.86 and 17,064.30 is: 25,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,667.17 : 69,978.86 = 17,064.30 : x
  2. Step 2: Convert to fraction form
    46,667.17/69,978.86 = 17,064.30/x
  3. Step 3: Cross multiply
    46,667.17x = 69,978.86 × 17,064.30
  4. Step 4: Simplify right side
    46,667.17x = 1,194,140,175.38
  5. Step 5: Solve for x
    x = 1,194,140,175.38/46,667.17
  6. Step 6: Final answer
    x = 25,588.44

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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.