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Finding the Fourth Proportional to 73,776.81, 101,812 and 40,242.81

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Solution

The fourth proportional to 73,776.81, 101,812 and 40,242.81 is: 55,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,776.81 : 101,812 = 40,242.81 : x
  2. Step 2: Convert to fraction form
    73,776.81/101,812 = 40,242.81/x
  3. Step 3: Cross multiply
    73,776.81x = 101,812 × 40,242.81
  4. Step 4: Simplify right side
    73,776.81x = 4,097,200,971.72
  5. Step 5: Solve for x
    x = 4,097,200,971.72/73,776.81
  6. Step 6: Final answer
    x = 55,535.08

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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.