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Finding the Fourth Proportional to 97,896.25, 146,844.51 and 24,024.25

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Solution

The fourth proportional to 97,896.25, 146,844.51 and 24,024.25 is: 36,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896.25 : 146,844.51 = 24,024.25 : x
  2. Step 2: Convert to fraction form
    97,896.25/146,844.51 = 24,024.25/x
  3. Step 3: Cross multiply
    97,896.25x = 146,844.51 × 24,024.25
  4. Step 4: Simplify right side
    97,896.25x = 3,527,829,219.37
  5. Step 5: Solve for x
    x = 3,527,829,219.37/97,896.25
  6. Step 6: Final answer
    x = 36,036.41

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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.