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Finding the Fourth Proportional to 62,578.50, 86,358.33 and 37,428

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Solution

The fourth proportional to 62,578.50, 86,358.33 and 37,428 is: 51,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,578.50 : 86,358.33 = 37,428 : x
  2. Step 2: Convert to fraction form
    62,578.50/86,358.33 = 37,428/x
  3. Step 3: Cross multiply
    62,578.50x = 86,358.33 × 37,428
  4. Step 4: Simplify right side
    62,578.50x = 3,232,219,575.24
  5. Step 5: Solve for x
    x = 3,232,219,575.24/62,578.50
  6. Step 6: Final answer
    x = 51,650.64

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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.