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Finding the Fourth Proportional to 75,726.27, 113,517 and 28,328.49

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Solution

The fourth proportional to 75,726.27, 113,517 and 28,328.49 is: 42,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,726.27 : 113,517 = 28,328.49 : x
  2. Step 2: Convert to fraction form
    75,726.27/113,517 = 28,328.49/x
  3. Step 3: Cross multiply
    75,726.27x = 113,517 × 28,328.49
  4. Step 4: Simplify right side
    75,726.27x = 3,215,765,199.33
  5. Step 5: Solve for x
    x = 3,215,765,199.33/75,726.27
  6. Step 6: Final answer
    x = 42,465.65

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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.