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Finding the Fourth Proportional to 31,156.72, 46,674.56 and 27,666.16

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Solution

The fourth proportional to 31,156.72, 46,674.56 and 27,666.16 is: 41,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.72 : 46,674.56 = 27,666.16 : x
  2. Step 2: Convert to fraction form
    31,156.72/46,674.56 = 27,666.16/x
  3. Step 3: Cross multiply
    31,156.72x = 46,674.56 × 27,666.16
  4. Step 4: Simplify right side
    31,156.72x = 1,291,305,844.89
  5. Step 5: Solve for x
    x = 1,291,305,844.89/31,156.72
  6. Step 6: Final answer
    x = 41,445.50

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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.