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Finding the Fourth Proportional to 72,718.38, 100,409.49 and 47,237.40

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Solution

The fourth proportional to 72,718.38, 100,409.49 and 47,237.40 is: 65,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,718.38 : 100,409.49 = 47,237.40 : x
  2. Step 2: Convert to fraction form
    72,718.38/100,409.49 = 47,237.40/x
  3. Step 3: Cross multiply
    72,718.38x = 100,409.49 × 47,237.40
  4. Step 4: Simplify right side
    72,718.38x = 4,743,083,242.93
  5. Step 5: Solve for x
    x = 4,743,083,242.93/72,718.38
  6. Step 6: Final answer
    x = 65,225.37

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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.