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Finding the Fourth Proportional to 33,206.68, 49,831.62 and 12,430

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Solution

The fourth proportional to 33,206.68, 49,831.62 and 12,430 is: 18,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206.68 : 49,831.62 = 12,430 : x
  2. Step 2: Convert to fraction form
    33,206.68/49,831.62 = 12,430/x
  3. Step 3: Cross multiply
    33,206.68x = 49,831.62 × 12,430
  4. Step 4: Simplify right side
    33,206.68x = 619,407,036.60
  5. Step 5: Solve for x
    x = 619,407,036.60/33,206.68
  6. Step 6: Final answer
    x = 18,653.09

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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.