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Finding the Fourth Proportional to 35,797, 53,685.17 and 10,831.18

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Solution

The fourth proportional to 35,797, 53,685.17 and 10,831.18 is: 16,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797 : 53,685.17 = 10,831.18 : x
  2. Step 2: Convert to fraction form
    35,797/53,685.17 = 10,831.18/x
  3. Step 3: Cross multiply
    35,797x = 53,685.17 × 10,831.18
  4. Step 4: Simplify right side
    35,797x = 581,473,739.60
  5. Step 5: Solve for x
    x = 581,473,739.60/35,797
  6. Step 6: Final answer
    x = 16,243.64

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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.