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Finding the Fourth Proportional to 76,980.38, 106,226.86 and 42,986.21

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Solution

The fourth proportional to 76,980.38, 106,226.86 and 42,986.21 is: 59,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.38 : 106,226.86 = 42,986.21 : x
  2. Step 2: Convert to fraction form
    76,980.38/106,226.86 = 42,986.21/x
  3. Step 3: Cross multiply
    76,980.38x = 106,226.86 × 42,986.21
  4. Step 4: Simplify right side
    76,980.38x = 4,566,290,111.60
  5. Step 5: Solve for x
    x = 4,566,290,111.60/76,980.38
  6. Step 6: Final answer
    x = 59,317.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.