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Finding the Fourth Proportional to 92,564.71, 127,736.71 and 54,838.96

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Solution

The fourth proportional to 92,564.71, 127,736.71 and 54,838.96 is: 75,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,564.71 : 127,736.71 = 54,838.96 : x
  2. Step 2: Convert to fraction form
    92,564.71/127,736.71 = 54,838.96/x
  3. Step 3: Cross multiply
    92,564.71x = 127,736.71 × 54,838.96
  4. Step 4: Simplify right side
    92,564.71x = 7,004,947,873.78
  5. Step 5: Solve for x
    x = 7,004,947,873.78/92,564.71
  6. Step 6: Final answer
    x = 75,676.23

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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.