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Finding the Fourth Proportional to 49,008, 73,518.48 and 41,309.76

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Solution

The fourth proportional to 49,008, 73,518.48 and 41,309.76 is: 61,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,008 : 73,518.48 = 41,309.76 : x
  2. Step 2: Convert to fraction form
    49,008/73,518.48 = 41,309.76/x
  3. Step 3: Cross multiply
    49,008x = 73,518.48 × 41,309.76
  4. Step 4: Simplify right side
    49,008x = 3,037,030,764.36
  5. Step 5: Solve for x
    x = 3,037,030,764.36/49,008
  6. Step 6: Final answer
    x = 61,970.10

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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.