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Finding the Fourth Proportional to 75,356.16, 103,991.16 and 41,364.72

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Solution

The fourth proportional to 75,356.16, 103,991.16 and 41,364.72 is: 57,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356.16 : 103,991.16 = 41,364.72 : x
  2. Step 2: Convert to fraction form
    75,356.16/103,991.16 = 41,364.72/x
  3. Step 3: Cross multiply
    75,356.16x = 103,991.16 × 41,364.72
  4. Step 4: Simplify right side
    75,356.16x = 4,301,565,215.88
  5. Step 5: Solve for x
    x = 4,301,565,215.88/75,356.16
  6. Step 6: Final answer
    x = 57,083.13

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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.