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Finding the Fourth Proportional to 51,078.32, 76,617.54 and 14,142.32

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Solution

The fourth proportional to 51,078.32, 76,617.54 and 14,142.32 is: 21,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078.32 : 76,617.54 = 14,142.32 : x
  2. Step 2: Convert to fraction form
    51,078.32/76,617.54 = 14,142.32/x
  3. Step 3: Cross multiply
    51,078.32x = 76,617.54 × 14,142.32
  4. Step 4: Simplify right side
    51,078.32x = 1,083,549,768.29
  5. Step 5: Solve for x
    x = 1,083,549,768.29/51,078.32
  6. Step 6: Final answer
    x = 21,213.50

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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.