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Finding the Fourth Proportional to 50,821.84, 76,237.80 and 21,248.92

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Solution

The fourth proportional to 50,821.84, 76,237.80 and 21,248.92 is: 31,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,821.84 : 76,237.80 = 21,248.92 : x
  2. Step 2: Convert to fraction form
    50,821.84/76,237.80 = 21,248.92/x
  3. Step 3: Cross multiply
    50,821.84x = 76,237.80 × 21,248.92
  4. Step 4: Simplify right side
    50,821.84x = 1,619,970,913.18
  5. Step 5: Solve for x
    x = 1,619,970,913.18/50,821.84
  6. Step 6: Final answer
    x = 31,875.49

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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.