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Finding the Fourth Proportional to 97,894.36, 146,769.72 and 31,296.16

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Solution

The fourth proportional to 97,894.36, 146,769.72 and 31,296.16 is: 46,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,894.36 : 146,769.72 = 31,296.16 : x
  2. Step 2: Convert to fraction form
    97,894.36/146,769.72 = 31,296.16/x
  3. Step 3: Cross multiply
    97,894.36x = 146,769.72 × 31,296.16
  4. Step 4: Simplify right side
    97,894.36x = 4,593,328,882.42
  5. Step 5: Solve for x
    x = 4,593,328,882.42/97,894.36
  6. Step 6: Final answer
    x = 46,921.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.