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Finding the Fourth Proportional to 96,295.70, 132,892.64 and 53,274.98

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Solution

The fourth proportional to 96,295.70, 132,892.64 and 53,274.98 is: 73,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,295.70 : 132,892.64 = 53,274.98 : x
  2. Step 2: Convert to fraction form
    96,295.70/132,892.64 = 53,274.98/x
  3. Step 3: Cross multiply
    96,295.70x = 132,892.64 × 53,274.98
  4. Step 4: Simplify right side
    96,295.70x = 7,079,852,738.15
  5. Step 5: Solve for x
    x = 7,079,852,738.15/96,295.70
  6. Step 6: Final answer
    x = 73,522.00

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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.