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Finding the Fourth Proportional to 75,314.89, 103,931.04 and 41,322.61

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Solution

The fourth proportional to 75,314.89, 103,931.04 and 41,322.61 is: 57,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.89 : 103,931.04 = 41,322.61 : x
  2. Step 2: Convert to fraction form
    75,314.89/103,931.04 = 41,322.61/x
  3. Step 3: Cross multiply
    75,314.89x = 103,931.04 × 41,322.61
  4. Step 4: Simplify right side
    75,314.89x = 4,294,701,832.81
  5. Step 5: Solve for x
    x = 4,294,701,832.81/75,314.89
  6. Step 6: Final answer
    x = 57,023.28

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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.