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Finding the Fourth Proportional to 75,810.14, 113,675 and 23,205.50

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Solution

The fourth proportional to 75,810.14, 113,675 and 23,205.50 is: 34,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,810.14 : 113,675 = 23,205.50 : x
  2. Step 2: Convert to fraction form
    75,810.14/113,675 = 23,205.50/x
  3. Step 3: Cross multiply
    75,810.14x = 113,675 × 23,205.50
  4. Step 4: Simplify right side
    75,810.14x = 2,637,885,212.50
  5. Step 5: Solve for x
    x = 2,637,885,212.50/75,810.14
  6. Step 6: Final answer
    x = 34,795.94

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