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Finding the Fourth Proportional to 43,878, 65,823.84 and 14,288.86

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Solution

The fourth proportional to 43,878, 65,823.84 and 14,288.86 is: 21,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,878 : 65,823.84 = 14,288.86 : x
  2. Step 2: Convert to fraction form
    43,878/65,823.84 = 14,288.86/x
  3. Step 3: Cross multiply
    43,878x = 65,823.84 × 14,288.86
  4. Step 4: Simplify right side
    43,878x = 940,547,634.42
  5. Step 5: Solve for x
    x = 940,547,634.42/43,878
  6. Step 6: Final answer
    x = 21,435.52

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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.