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Finding the Fourth Proportional to 107,585.26, 161,376.42 and 48,379

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Solution

The fourth proportional to 107,585.26, 161,376.42 and 48,379 is: 72,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,585.26 : 161,376.42 = 48,379 : x
  2. Step 2: Convert to fraction form
    107,585.26/161,376.42 = 48,379/x
  3. Step 3: Cross multiply
    107,585.26x = 161,376.42 × 48,379
  4. Step 4: Simplify right side
    107,585.26x = 7,807,229,823.18
  5. Step 5: Solve for x
    x = 7,807,229,823.18/107,585.26
  6. Step 6: Final answer
    x = 72,567.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.