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Finding the Fourth Proportional to 64,858.50, 97,288.56 and 23,305.50

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Solution

The fourth proportional to 64,858.50, 97,288.56 and 23,305.50 is: 34,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858.50 : 97,288.56 = 23,305.50 : x
  2. Step 2: Convert to fraction form
    64,858.50/97,288.56 = 23,305.50/x
  3. Step 3: Cross multiply
    64,858.50x = 97,288.56 × 23,305.50
  4. Step 4: Simplify right side
    64,858.50x = 2,267,358,535.08
  5. Step 5: Solve for x
    x = 2,267,358,535.08/64,858.50
  6. Step 6: Final answer
    x = 34,958.54

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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.