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Finding the Fourth Proportional to 97,233.50, 145,850.26 and 31,569.50

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Solution

The fourth proportional to 97,233.50, 145,850.26 and 31,569.50 is: 47,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,233.50 : 145,850.26 = 31,569.50 : x
  2. Step 2: Convert to fraction form
    97,233.50/145,850.26 = 31,569.50/x
  3. Step 3: Cross multiply
    97,233.50x = 145,850.26 × 31,569.50
  4. Step 4: Simplify right side
    97,233.50x = 4,604,419,783.07
  5. Step 5: Solve for x
    x = 4,604,419,783.07/97,233.50
  6. Step 6: Final answer
    x = 47,354.25

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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.