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Finding the Fourth Proportional to 94,356, 130,213.31 and 51,914.61

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Solution

The fourth proportional to 94,356, 130,213.31 and 51,914.61 is: 71,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,356 : 130,213.31 = 51,914.61 : x
  2. Step 2: Convert to fraction form
    94,356/130,213.31 = 51,914.61/x
  3. Step 3: Cross multiply
    94,356x = 130,213.31 × 51,914.61
  4. Step 4: Simplify right side
    94,356x = 6,759,972,945.89
  5. Step 5: Solve for x
    x = 6,759,972,945.89/94,356
  6. Step 6: Final answer
    x = 71,643.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.