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Finding the Fourth Proportional to 122,502.72, 183,788.64 and 48,682.56

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Solution

The fourth proportional to 122,502.72, 183,788.64 and 48,682.56 is: 73,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,502.72 : 183,788.64 = 48,682.56 : x
  2. Step 2: Convert to fraction form
    122,502.72/183,788.64 = 48,682.56/x
  3. Step 3: Cross multiply
    122,502.72x = 183,788.64 × 48,682.56
  4. Step 4: Simplify right side
    122,502.72x = 8,947,301,494.12
  5. Step 5: Solve for x
    x = 8,947,301,494.12/122,502.72
  6. Step 6: Final answer
    x = 73,037.57

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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.