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Finding the Fourth Proportional to 46,130.78, 69,218.04 and 27,447.74

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Solution

The fourth proportional to 46,130.78, 69,218.04 and 27,447.74 is: 41,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,130.78 : 69,218.04 = 27,447.74 : x
  2. Step 2: Convert to fraction form
    46,130.78/69,218.04 = 27,447.74/x
  3. Step 3: Cross multiply
    46,130.78x = 69,218.04 × 27,447.74
  4. Step 4: Simplify right side
    46,130.78x = 1,899,878,765.23
  5. Step 5: Solve for x
    x = 1,899,878,765.23/46,130.78
  6. Step 6: Final answer
    x = 41,184.62

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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.