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Finding the Fourth Proportional to 51,442.76, 71,015.28 and 38,700.81

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Solution

The fourth proportional to 51,442.76, 71,015.28 and 38,700.81 is: 53,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,442.76 : 71,015.28 = 38,700.81 : x
  2. Step 2: Convert to fraction form
    51,442.76/71,015.28 = 38,700.81/x
  3. Step 3: Cross multiply
    51,442.76x = 71,015.28 × 38,700.81
  4. Step 4: Simplify right side
    51,442.76x = 2,748,348,858.38
  5. Step 5: Solve for x
    x = 2,748,348,858.38/51,442.76
  6. Step 6: Final answer
    x = 53,425.38

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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.