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Finding the Fourth Proportional to 97,798.54, 146,696.64 and 31,237.78

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Solution

The fourth proportional to 97,798.54, 146,696.64 and 31,237.78 is: 46,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,798.54 : 146,696.64 = 31,237.78 : x
  2. Step 2: Convert to fraction form
    97,798.54/146,696.64 = 31,237.78/x
  3. Step 3: Cross multiply
    97,798.54x = 146,696.64 × 31,237.78
  4. Step 4: Simplify right side
    97,798.54x = 4,582,477,367.06
  5. Step 5: Solve for x
    x = 4,582,477,367.06/97,798.54
  6. Step 6: Final answer
    x = 46,856.30

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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.