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Finding the Fourth Proportional to 73,316.81, 101,177.24 and 39,782.81

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Solution

The fourth proportional to 73,316.81, 101,177.24 and 39,782.81 is: 54,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,316.81 : 101,177.24 = 39,782.81 : x
  2. Step 2: Convert to fraction form
    73,316.81/101,177.24 = 39,782.81/x
  3. Step 3: Cross multiply
    73,316.81x = 101,177.24 × 39,782.81
  4. Step 4: Simplify right side
    73,316.81x = 4,025,114,969.27
  5. Step 5: Solve for x
    x = 4,025,114,969.27/73,316.81
  6. Step 6: Final answer
    x = 54,900.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.