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Finding the Fourth Proportional to 48,743.84, 73,145.84 and 19,156.48

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Solution

The fourth proportional to 48,743.84, 73,145.84 and 19,156.48 is: 28,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,743.84 : 73,145.84 = 19,156.48 : x
  2. Step 2: Convert to fraction form
    48,743.84/73,145.84 = 19,156.48/x
  3. Step 3: Cross multiply
    48,743.84x = 73,145.84 × 19,156.48
  4. Step 4: Simplify right side
    48,743.84x = 1,401,216,821.04
  5. Step 5: Solve for x
    x = 1,401,216,821.04/48,743.84
  6. Step 6: Final answer
    x = 28,746.54

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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.