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Finding the Fourth Proportional to 39,532.50, 59,298.75 and 11,830.50

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Solution

The fourth proportional to 39,532.50, 59,298.75 and 11,830.50 is: 17,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,532.50 : 59,298.75 = 11,830.50 : x
  2. Step 2: Convert to fraction form
    39,532.50/59,298.75 = 11,830.50/x
  3. Step 3: Cross multiply
    39,532.50x = 59,298.75 × 11,830.50
  4. Step 4: Simplify right side
    39,532.50x = 701,533,861.88
  5. Step 5: Solve for x
    x = 701,533,861.88/39,532.50
  6. Step 6: Final answer
    x = 17,745.75

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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.