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Finding the Fourth Proportional to 51,478.63, 77,072.29 and 32,712.14

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Solution

The fourth proportional to 51,478.63, 77,072.29 and 32,712.14 is: 48,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.63 : 77,072.29 = 32,712.14 : x
  2. Step 2: Convert to fraction form
    51,478.63/77,072.29 = 32,712.14/x
  3. Step 3: Cross multiply
    51,478.63x = 77,072.29 × 32,712.14
  4. Step 4: Simplify right side
    51,478.63x = 2,521,199,540.60
  5. Step 5: Solve for x
    x = 2,521,199,540.60/51,478.63
  6. Step 6: Final answer
    x = 48,975.65

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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.