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Finding the Fourth Proportional to 75,130, 103,680.12 and 41,596.72

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Solution

The fourth proportional to 75,130, 103,680.12 and 41,596.72 is: 57,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,130 : 103,680.12 = 41,596.72 : x
  2. Step 2: Convert to fraction form
    75,130/103,680.12 = 41,596.72/x
  3. Step 3: Cross multiply
    75,130x = 103,680.12 × 41,596.72
  4. Step 4: Simplify right side
    75,130x = 4,312,752,921.21
  5. Step 5: Solve for x
    x = 4,312,752,921.21/75,130
  6. Step 6: Final answer
    x = 57,403.87

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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.