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Finding the Fourth Proportional to 96,358.98, 132,975.57 and 53,341.47

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Solution

The fourth proportional to 96,358.98, 132,975.57 and 53,341.47 is: 73,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,358.98 : 132,975.57 = 53,341.47 : x
  2. Step 2: Convert to fraction form
    96,358.98/132,975.57 = 53,341.47/x
  3. Step 3: Cross multiply
    96,358.98x = 132,975.57 × 53,341.47
  4. Step 4: Simplify right side
    96,358.98x = 7,093,112,577.92
  5. Step 5: Solve for x
    x = 7,093,112,577.92/96,358.98
  6. Step 6: Final answer
    x = 73,611.33

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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.