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Finding the Fourth Proportional to 97,830.63, 146,811.72 and 34,650.54

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Solution

The fourth proportional to 97,830.63, 146,811.72 and 34,650.54 is: 51,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,830.63 : 146,811.72 = 34,650.54 : x
  2. Step 2: Convert to fraction form
    97,830.63/146,811.72 = 34,650.54/x
  3. Step 3: Cross multiply
    97,830.63x = 146,811.72 × 34,650.54
  4. Step 4: Simplify right side
    97,830.63x = 5,087,105,376.33
  5. Step 5: Solve for x
    x = 5,087,105,376.33/97,830.63
  6. Step 6: Final answer
    x = 51,999.11

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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.