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Finding the Fourth Proportional to 30,777.99, 42,545.34 and 27,453.75

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Solution

The fourth proportional to 30,777.99, 42,545.34 and 27,453.75 is: 37,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.99 : 42,545.34 = 27,453.75 : x
  2. Step 2: Convert to fraction form
    30,777.99/42,545.34 = 27,453.75/x
  3. Step 3: Cross multiply
    30,777.99x = 42,545.34 × 27,453.75
  4. Step 4: Simplify right side
    30,777.99x = 1,168,029,128.03
  5. Step 5: Solve for x
    x = 1,168,029,128.03/30,777.99
  6. Step 6: Final answer
    x = 37,950.14

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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.