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Finding the Fourth Proportional to 46,793.77, 70,218.29 and 24,608.86

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Solution

The fourth proportional to 46,793.77, 70,218.29 and 24,608.86 is: 36,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793.77 : 70,218.29 = 24,608.86 : x
  2. Step 2: Convert to fraction form
    46,793.77/70,218.29 = 24,608.86/x
  3. Step 3: Cross multiply
    46,793.77x = 70,218.29 × 24,608.86
  4. Step 4: Simplify right side
    46,793.77x = 1,727,991,954.03
  5. Step 5: Solve for x
    x = 1,727,991,954.03/46,793.77
  6. Step 6: Final answer
    x = 36,927.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.