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Finding the Fourth Proportional to 48,101.84, 72,160.44 and 14,813.84

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Solution

The fourth proportional to 48,101.84, 72,160.44 and 14,813.84 is: 22,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,101.84 : 72,160.44 = 14,813.84 : x
  2. Step 2: Convert to fraction form
    48,101.84/72,160.44 = 14,813.84/x
  3. Step 3: Cross multiply
    48,101.84x = 72,160.44 × 14,813.84
  4. Step 4: Simplify right side
    48,101.84x = 1,068,973,212.49
  5. Step 5: Solve for x
    x = 1,068,973,212.49/48,101.84
  6. Step 6: Final answer
    x = 22,223.13

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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.