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Finding the Fourth Proportional to 183,024.86, 274,529.30 and 49,904.78

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Solution

The fourth proportional to 183,024.86, 274,529.30 and 49,904.78 is: 74,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,024.86 : 274,529.30 = 49,904.78 : x
  2. Step 2: Convert to fraction form
    183,024.86/274,529.30 = 49,904.78/x
  3. Step 3: Cross multiply
    183,024.86x = 274,529.30 × 49,904.78
  4. Step 4: Simplify right side
    183,024.86x = 13,700,322,697.88
  5. Step 5: Solve for x
    x = 13,700,322,697.88/183,024.86
  6. Step 6: Final answer
    x = 74,854.98

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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.