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Finding the Fourth Proportional to 51,045.36, 70,422.90 and 37,648.38

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Solution

The fourth proportional to 51,045.36, 70,422.90 and 37,648.38 is: 51,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,045.36 : 70,422.90 = 37,648.38 : x
  2. Step 2: Convert to fraction form
    51,045.36/70,422.90 = 37,648.38/x
  3. Step 3: Cross multiply
    51,045.36x = 70,422.90 × 37,648.38
  4. Step 4: Simplify right side
    51,045.36x = 2,651,308,099.90
  5. Step 5: Solve for x
    x = 2,651,308,099.90/51,045.36
  6. Step 6: Final answer
    x = 51,940.24

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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.