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Finding the Fourth Proportional to 72,594.79, 100,178.22 and 40,765.03

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Solution

The fourth proportional to 72,594.79, 100,178.22 and 40,765.03 is: 56,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,594.79 : 100,178.22 = 40,765.03 : x
  2. Step 2: Convert to fraction form
    72,594.79/100,178.22 = 40,765.03/x
  3. Step 3: Cross multiply
    72,594.79x = 100,178.22 × 40,765.03
  4. Step 4: Simplify right side
    72,594.79x = 4,083,768,143.65
  5. Step 5: Solve for x
    x = 4,083,768,143.65/72,594.79
  6. Step 6: Final answer
    x = 56,254.29

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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.