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Finding the Fourth Proportional to 96,185.76, 132,733.86 and 53,744.64

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Solution

The fourth proportional to 96,185.76, 132,733.86 and 53,744.64 is: 74,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,185.76 : 132,733.86 = 53,744.64 : x
  2. Step 2: Convert to fraction form
    96,185.76/132,733.86 = 53,744.64/x
  3. Step 3: Cross multiply
    96,185.76x = 132,733.86 × 53,744.64
  4. Step 4: Simplify right side
    96,185.76x = 7,133,733,521.51
  5. Step 5: Solve for x
    x = 7,133,733,521.51/96,185.76
  6. Step 6: Final answer
    x = 74,166.21

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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.