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Finding the Fourth Proportional to 29,365, 44,047.50 and 8,588.50

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Solution

The fourth proportional to 29,365, 44,047.50 and 8,588.50 is: 12,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,365 : 44,047.50 = 8,588.50 : x
  2. Step 2: Convert to fraction form
    29,365/44,047.50 = 8,588.50/x
  3. Step 3: Cross multiply
    29,365x = 44,047.50 × 8,588.50
  4. Step 4: Simplify right side
    29,365x = 378,301,953.75
  5. Step 5: Solve for x
    x = 378,301,953.75/29,365
  6. Step 6: Final answer
    x = 12,882.75

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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.