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Finding the Fourth Proportional to 46,558.64, 64,234.60 and 27,693.20

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Solution

The fourth proportional to 46,558.64, 64,234.60 and 27,693.20 is: 38,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,558.64 : 64,234.60 = 27,693.20 : x
  2. Step 2: Convert to fraction form
    46,558.64/64,234.60 = 27,693.20/x
  3. Step 3: Cross multiply
    46,558.64x = 64,234.60 × 27,693.20
  4. Step 4: Simplify right side
    46,558.64x = 1,778,861,624.72
  5. Step 5: Solve for x
    x = 1,778,861,624.72/46,558.64
  6. Step 6: Final answer
    x = 38,206.91

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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.