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Finding the Fourth Proportional to 50,460.84, 75,726.40 and 20,878.83

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Solution

The fourth proportional to 50,460.84, 75,726.40 and 20,878.83 is: 31,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,460.84 : 75,726.40 = 20,878.83 : x
  2. Step 2: Convert to fraction form
    50,460.84/75,726.40 = 20,878.83/x
  3. Step 3: Cross multiply
    50,460.84x = 75,726.40 × 20,878.83
  4. Step 4: Simplify right side
    50,460.84x = 1,581,078,632.11
  5. Step 5: Solve for x
    x = 1,581,078,632.11/50,460.84
  6. Step 6: Final answer
    x = 31,332.78

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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.