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Finding the Fourth Proportional to 37,208.35, 55,831.66 and 20,565.28

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Solution

The fourth proportional to 37,208.35, 55,831.66 and 20,565.28 is: 30,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,208.35 : 55,831.66 = 20,565.28 : x
  2. Step 2: Convert to fraction form
    37,208.35/55,831.66 = 20,565.28/x
  3. Step 3: Cross multiply
    37,208.35x = 55,831.66 × 20,565.28
  4. Step 4: Simplify right side
    37,208.35x = 1,148,193,720.76
  5. Step 5: Solve for x
    x = 1,148,193,720.76/37,208.35
  6. Step 6: Final answer
    x = 30,858.50

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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.