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Finding the Fourth Proportional to 97,883.92, 146,835.56 and 31,307.32

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Solution

The fourth proportional to 97,883.92, 146,835.56 and 31,307.32 is: 46,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,883.92 : 146,835.56 = 31,307.32 : x
  2. Step 2: Convert to fraction form
    97,883.92/146,835.56 = 31,307.32/x
  3. Step 3: Cross multiply
    97,883.92x = 146,835.56 × 31,307.32
  4. Step 4: Simplify right side
    97,883.92x = 4,597,027,864.30
  5. Step 5: Solve for x
    x = 4,597,027,864.30/97,883.92
  6. Step 6: Final answer
    x = 46,964.08

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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.