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Finding the Fourth Proportional to 33,259.47, 49,897.44 and 9,885.84

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Solution

The fourth proportional to 33,259.47, 49,897.44 and 9,885.84 is: 14,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,259.47 : 49,897.44 = 9,885.84 : x
  2. Step 2: Convert to fraction form
    33,259.47/49,897.44 = 9,885.84/x
  3. Step 3: Cross multiply
    33,259.47x = 49,897.44 × 9,885.84
  4. Step 4: Simplify right side
    33,259.47x = 493,278,108.25
  5. Step 5: Solve for x
    x = 493,278,108.25/33,259.47
  6. Step 6: Final answer
    x = 14,831.21

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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.