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Finding the Fourth Proportional to 72,154.86, 99,573.38 and 40,323.74

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Solution

The fourth proportional to 72,154.86, 99,573.38 and 40,323.74 is: 55,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,154.86 : 99,573.38 = 40,323.74 : x
  2. Step 2: Convert to fraction form
    72,154.86/99,573.38 = 40,323.74/x
  3. Step 3: Cross multiply
    72,154.86x = 99,573.38 × 40,323.74
  4. Step 4: Simplify right side
    72,154.86x = 4,015,171,086.04
  5. Step 5: Solve for x
    x = 4,015,171,086.04/72,154.86
  6. Step 6: Final answer
    x = 55,646.58

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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.