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Finding the Fourth Proportional to 82,148.61, 123,124.50 and 48,796.86

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Solution

The fourth proportional to 82,148.61, 123,124.50 and 48,796.86 is: 73,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,148.61 : 123,124.50 = 48,796.86 : x
  2. Step 2: Convert to fraction form
    82,148.61/123,124.50 = 48,796.86/x
  3. Step 3: Cross multiply
    82,148.61x = 123,124.50 × 48,796.86
  4. Step 4: Simplify right side
    82,148.61x = 6,008,088,989.07
  5. Step 5: Solve for x
    x = 6,008,088,989.07/82,148.61
  6. Step 6: Final answer
    x = 73,136.83

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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.