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Finding the Fourth Proportional to 75,313.43, 103,931.64 and 41,322.22

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Solution

The fourth proportional to 75,313.43, 103,931.64 and 41,322.22 is: 57,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.43 : 103,931.64 = 41,322.22 : x
  2. Step 2: Convert to fraction form
    75,313.43/103,931.64 = 41,322.22/x
  3. Step 3: Cross multiply
    75,313.43x = 103,931.64 × 41,322.22
  4. Step 4: Simplify right side
    75,313.43x = 4,294,685,833.21
  5. Step 5: Solve for x
    x = 4,294,685,833.21/75,313.43
  6. Step 6: Final answer
    x = 57,024.17

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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.