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Finding the Fourth Proportional to 51,383, 76,953.54 and 43,116.14

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Solution

The fourth proportional to 51,383, 76,953.54 and 43,116.14 is: 64,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383 : 76,953.54 = 43,116.14 : x
  2. Step 2: Convert to fraction form
    51,383/76,953.54 = 43,116.14/x
  3. Step 3: Cross multiply
    51,383x = 76,953.54 × 43,116.14
  4. Step 4: Simplify right side
    51,383x = 3,317,939,604.14
  5. Step 5: Solve for x
    x = 3,317,939,604.14/51,383
  6. Step 6: Final answer
    x = 64,572.71

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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.