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Finding the Fourth Proportional to 49,182.70, 73,664.70 and 38,053.30

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Solution

The fourth proportional to 49,182.70, 73,664.70 and 38,053.30 is: 56,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182.70 : 73,664.70 = 38,053.30 : x
  2. Step 2: Convert to fraction form
    49,182.70/73,664.70 = 38,053.30/x
  3. Step 3: Cross multiply
    49,182.70x = 73,664.70 × 38,053.30
  4. Step 4: Simplify right side
    49,182.70x = 2,803,184,928.51
  5. Step 5: Solve for x
    x = 2,803,184,928.51/49,182.70
  6. Step 6: Final answer
    x = 56,995.34

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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.