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Finding the Fourth Proportional to 30,683.38, 45,987.96 and 21,784.72

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Solution

The fourth proportional to 30,683.38, 45,987.96 and 21,784.72 is: 32,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.38 : 45,987.96 = 21,784.72 : x
  2. Step 2: Convert to fraction form
    30,683.38/45,987.96 = 21,784.72/x
  3. Step 3: Cross multiply
    30,683.38x = 45,987.96 × 21,784.72
  4. Step 4: Simplify right side
    30,683.38x = 1,001,834,831.97
  5. Step 5: Solve for x
    x = 1,001,834,831.97/30,683.38
  6. Step 6: Final answer
    x = 32,650.73

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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.