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Finding the Fourth Proportional to 100,499, 138,690.24 and 55,787

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Solution

The fourth proportional to 100,499, 138,690.24 and 55,787 is: 76,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,499 : 138,690.24 = 55,787 : x
  2. Step 2: Convert to fraction form
    100,499/138,690.24 = 55,787/x
  3. Step 3: Cross multiply
    100,499x = 138,690.24 × 55,787
  4. Step 4: Simplify right side
    100,499x = 7,737,112,418.88
  5. Step 5: Solve for x
    x = 7,737,112,418.88/100,499
  6. Step 6: Final answer
    x = 76,986.96

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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.