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Finding the Fourth Proportional to 106,364.79, 146,783.69 and 57,967.10

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Solution

The fourth proportional to 106,364.79, 146,783.69 and 57,967.10 is: 79,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364.79 : 146,783.69 = 57,967.10 : x
  2. Step 2: Convert to fraction form
    106,364.79/146,783.69 = 57,967.10/x
  3. Step 3: Cross multiply
    106,364.79x = 146,783.69 × 57,967.10
  4. Step 4: Simplify right side
    106,364.79x = 8,508,623,812.85
  5. Step 5: Solve for x
    x = 8,508,623,812.85/106,364.79
  6. Step 6: Final answer
    x = 79,994.74

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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.