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Finding the Fourth Proportional to 51,678.96, 71,324.76 and 31,547.55

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Solution

The fourth proportional to 51,678.96, 71,324.76 and 31,547.55 is: 43,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678.96 : 71,324.76 = 31,547.55 : x
  2. Step 2: Convert to fraction form
    51,678.96/71,324.76 = 31,547.55/x
  3. Step 3: Cross multiply
    51,678.96x = 71,324.76 × 31,547.55
  4. Step 4: Simplify right side
    51,678.96x = 2,250,121,432.34
  5. Step 5: Solve for x
    x = 2,250,121,432.34/51,678.96
  6. Step 6: Final answer
    x = 43,540.38

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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.