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Finding the Fourth Proportional to 31,160.96, 46,741.52 and 12,442.52

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Solution

The fourth proportional to 31,160.96, 46,741.52 and 12,442.52 is: 18,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.96 : 46,741.52 = 12,442.52 : x
  2. Step 2: Convert to fraction form
    31,160.96/46,741.52 = 12,442.52/x
  3. Step 3: Cross multiply
    31,160.96x = 46,741.52 × 12,442.52
  4. Step 4: Simplify right side
    31,160.96x = 581,582,176.79
  5. Step 5: Solve for x
    x = 581,582,176.79/31,160.96
  6. Step 6: Final answer
    x = 18,663.81

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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.