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Finding the Fourth Proportional to 46,135.92, 69,164.04 and 18,415.92

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Solution

The fourth proportional to 46,135.92, 69,164.04 and 18,415.92 is: 27,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135.92 : 69,164.04 = 18,415.92 : x
  2. Step 2: Convert to fraction form
    46,135.92/69,164.04 = 18,415.92/x
  3. Step 3: Cross multiply
    46,135.92x = 69,164.04 × 18,415.92
  4. Step 4: Simplify right side
    46,135.92x = 1,273,719,427.52
  5. Step 5: Solve for x
    x = 1,273,719,427.52/46,135.92
  6. Step 6: Final answer
    x = 27,607.98

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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.