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Finding the Fourth Proportional to 48,838.80, 73,255.05 and 15,582.81

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Solution

The fourth proportional to 48,838.80, 73,255.05 and 15,582.81 is: 23,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838.80 : 73,255.05 = 15,582.81 : x
  2. Step 2: Convert to fraction form
    48,838.80/73,255.05 = 15,582.81/x
  3. Step 3: Cross multiply
    48,838.80x = 73,255.05 × 15,582.81
  4. Step 4: Simplify right side
    48,838.80x = 1,141,519,525.69
  5. Step 5: Solve for x
    x = 1,141,519,525.69/48,838.80
  6. Step 6: Final answer
    x = 23,373.21

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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.