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Finding the Fourth Proportional to 97,376.70, 146,043.99 and 30,822.24

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Solution

The fourth proportional to 97,376.70, 146,043.99 and 30,822.24 is: 46,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,376.70 : 146,043.99 = 30,822.24 : x
  2. Step 2: Convert to fraction form
    97,376.70/146,043.99 = 30,822.24/x
  3. Step 3: Cross multiply
    97,376.70x = 146,043.99 × 30,822.24
  4. Step 4: Simplify right side
    97,376.70x = 4,501,402,910.34
  5. Step 5: Solve for x
    x = 4,501,402,910.34/97,376.70
  6. Step 6: Final answer
    x = 46,226.69

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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.