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Finding the Fourth Proportional to 96,784.94, 133,563.12 and 54,343.64

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Solution

The fourth proportional to 96,784.94, 133,563.12 and 54,343.64 is: 74,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,784.94 : 133,563.12 = 54,343.64 : x
  2. Step 2: Convert to fraction form
    96,784.94/133,563.12 = 54,343.64/x
  3. Step 3: Cross multiply
    96,784.94x = 133,563.12 × 54,343.64
  4. Step 4: Simplify right side
    96,784.94x = 7,258,306,110.56
  5. Step 5: Solve for x
    x = 7,258,306,110.56/96,784.94
  6. Step 6: Final answer
    x = 74,994.17

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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.