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Finding the Fourth Proportional to 32,484.86, 48,727.29 and 7,860.86

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Solution

The fourth proportional to 32,484.86, 48,727.29 and 7,860.86 is: 11,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.86 : 48,727.29 = 7,860.86 : x
  2. Step 2: Convert to fraction form
    32,484.86/48,727.29 = 7,860.86/x
  3. Step 3: Cross multiply
    32,484.86x = 48,727.29 × 7,860.86
  4. Step 4: Simplify right side
    32,484.86x = 383,038,404.87
  5. Step 5: Solve for x
    x = 383,038,404.87/32,484.86
  6. Step 6: Final answer
    x = 11,791.29

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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.