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Finding the Fourth Proportional to 52,221.86, 78,234.12 and 40,477.58

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Solution

The fourth proportional to 52,221.86, 78,234.12 and 40,477.58 is: 60,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,221.86 : 78,234.12 = 40,477.58 : x
  2. Step 2: Convert to fraction form
    52,221.86/78,234.12 = 40,477.58/x
  3. Step 3: Cross multiply
    52,221.86x = 78,234.12 × 40,477.58
  4. Step 4: Simplify right side
    52,221.86x = 3,166,727,851.03
  5. Step 5: Solve for x
    x = 3,166,727,851.03/52,221.86
  6. Step 6: Final answer
    x = 60,639.89

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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.