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Finding the Fourth Proportional to 27,345.40, 40,985.70 and 20,411.80

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Solution

The fourth proportional to 27,345.40, 40,985.70 and 20,411.80 is: 30,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345.40 : 40,985.70 = 20,411.80 : x
  2. Step 2: Convert to fraction form
    27,345.40/40,985.70 = 20,411.80/x
  3. Step 3: Cross multiply
    27,345.40x = 40,985.70 × 20,411.80
  4. Step 4: Simplify right side
    27,345.40x = 836,591,911.26
  5. Step 5: Solve for x
    x = 836,591,911.26/27,345.40
  6. Step 6: Final answer
    x = 30,593.52

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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.