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Finding the Fourth Proportional to 75,089.30, 103,634.86 and 42,823.98

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Solution

The fourth proportional to 75,089.30, 103,634.86 and 42,823.98 is: 59,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,089.30 : 103,634.86 = 42,823.98 : x
  2. Step 2: Convert to fraction form
    75,089.30/103,634.86 = 42,823.98/x
  3. Step 3: Cross multiply
    75,089.30x = 103,634.86 × 42,823.98
  4. Step 4: Simplify right side
    75,089.30x = 4,438,057,171.94
  5. Step 5: Solve for x
    x = 4,438,057,171.94/75,089.30
  6. Step 6: Final answer
    x = 59,103.72

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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.