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Finding the Fourth Proportional to 97,832.54, 146,749.59 and 34,652.93

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Solution

The fourth proportional to 97,832.54, 146,749.59 and 34,652.93 is: 51,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,832.54 : 146,749.59 = 34,652.93 : x
  2. Step 2: Convert to fraction form
    97,832.54/146,749.59 = 34,652.93/x
  3. Step 3: Cross multiply
    97,832.54x = 146,749.59 × 34,652.93
  4. Step 4: Simplify right side
    97,832.54x = 5,085,302,536.05
  5. Step 5: Solve for x
    x = 5,085,302,536.05/97,832.54
  6. Step 6: Final answer
    x = 51,979.66

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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.