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Finding the Fourth Proportional to 48,551.84, 72,827.73 and 13,491.48

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Solution

The fourth proportional to 48,551.84, 72,827.73 and 13,491.48 is: 20,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,551.84 : 72,827.73 = 13,491.48 : x
  2. Step 2: Convert to fraction form
    48,551.84/72,827.73 = 13,491.48/x
  3. Step 3: Cross multiply
    48,551.84x = 72,827.73 × 13,491.48
  4. Step 4: Simplify right side
    48,551.84x = 982,553,862.74
  5. Step 5: Solve for x
    x = 982,553,862.74/48,551.84
  6. Step 6: Final answer
    x = 20,237.21

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Why These Related Problems?

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