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Finding the Fourth Proportional to 30,271.92, 45,418.08 and 13,402.60

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Solution

The fourth proportional to 30,271.92, 45,418.08 and 13,402.60 is: 20,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.92 : 45,418.08 = 13,402.60 : x
  2. Step 2: Convert to fraction form
    30,271.92/45,418.08 = 13,402.60/x
  3. Step 3: Cross multiply
    30,271.92x = 45,418.08 × 13,402.60
  4. Step 4: Simplify right side
    30,271.92x = 608,720,359.01
  5. Step 5: Solve for x
    x = 608,720,359.01/30,271.92
  6. Step 6: Final answer
    x = 20,108.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.