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Finding the Fourth Proportional to 72,697.65, 100,322.19 and 40,432.56

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Solution

The fourth proportional to 72,697.65, 100,322.19 and 40,432.56 is: 55,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.65 : 100,322.19 = 40,432.56 : x
  2. Step 2: Convert to fraction form
    72,697.65/100,322.19 = 40,432.56/x
  3. Step 3: Cross multiply
    72,697.65x = 100,322.19 × 40,432.56
  4. Step 4: Simplify right side
    72,697.65x = 4,056,282,966.51
  5. Step 5: Solve for x
    x = 4,056,282,966.51/72,697.65
  6. Step 6: Final answer
    x = 55,796.62

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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.