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Finding the Fourth Proportional to 76,983.28, 106,235.88 and 42,992.32

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Solution

The fourth proportional to 76,983.28, 106,235.88 and 42,992.32 is: 59,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,983.28 : 106,235.88 = 42,992.32 : x
  2. Step 2: Convert to fraction form
    76,983.28/106,235.88 = 42,992.32/x
  3. Step 3: Cross multiply
    76,983.28x = 106,235.88 × 42,992.32
  4. Step 4: Simplify right side
    76,983.28x = 4,567,326,948.44
  5. Step 5: Solve for x
    x = 4,567,326,948.44/76,983.28
  6. Step 6: Final answer
    x = 59,328.82

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