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Finding the Fourth Proportional to 97,783.96, 146,674.70 and 31,223.25

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Solution

The fourth proportional to 97,783.96, 146,674.70 and 31,223.25 is: 46,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,783.96 : 146,674.70 = 31,223.25 : x
  2. Step 2: Convert to fraction form
    97,783.96/146,674.70 = 31,223.25/x
  3. Step 3: Cross multiply
    97,783.96x = 146,674.70 × 31,223.25
  4. Step 4: Simplify right side
    97,783.96x = 4,579,660,093.40
  5. Step 5: Solve for x
    x = 4,579,660,093.40/97,783.96
  6. Step 6: Final answer
    x = 46,834.47

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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.