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Finding the Fourth Proportional to 39,745.34, 59,580.95 and 13,431.68

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Solution

The fourth proportional to 39,745.34, 59,580.95 and 13,431.68 is: 20,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,745.34 : 59,580.95 = 13,431.68 : x
  2. Step 2: Convert to fraction form
    39,745.34/59,580.95 = 13,431.68/x
  3. Step 3: Cross multiply
    39,745.34x = 59,580.95 × 13,431.68
  4. Step 4: Simplify right side
    39,745.34x = 800,272,254.50
  5. Step 5: Solve for x
    x = 800,272,254.50/39,745.34
  6. Step 6: Final answer
    x = 20,135.00

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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.