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Finding the Fourth Proportional to 72,855.95, 100,541.19 and 41,024.16

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Solution

The fourth proportional to 72,855.95, 100,541.19 and 41,024.16 is: 56,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,855.95 : 100,541.19 = 41,024.16 : x
  2. Step 2: Convert to fraction form
    72,855.95/100,541.19 = 41,024.16/x
  3. Step 3: Cross multiply
    72,855.95x = 100,541.19 × 41,024.16
  4. Step 4: Simplify right side
    72,855.95x = 4,124,617,865.15
  5. Step 5: Solve for x
    x = 4,124,617,865.15/72,855.95
  6. Step 6: Final answer
    x = 56,613.33

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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.