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Finding the Fourth Proportional to 97,233, 145,849.50 and 31,569

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Solution

The fourth proportional to 97,233, 145,849.50 and 31,569 is: 47,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,233 : 145,849.50 = 31,569 : x
  2. Step 2: Convert to fraction form
    97,233/145,849.50 = 31,569/x
  3. Step 3: Cross multiply
    97,233x = 145,849.50 × 31,569
  4. Step 4: Simplify right side
    97,233x = 4,604,322,865.50
  5. Step 5: Solve for x
    x = 4,604,322,865.50/97,233
  6. Step 6: Final answer
    x = 47,353.50

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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.