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Finding the Fourth Proportional to 62,577.50, 86,356.95 and 37,427

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Solution

The fourth proportional to 62,577.50, 86,356.95 and 37,427 is: 51,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,577.50 : 86,356.95 = 37,427 : x
  2. Step 2: Convert to fraction form
    62,577.50/86,356.95 = 37,427/x
  3. Step 3: Cross multiply
    62,577.50x = 86,356.95 × 37,427
  4. Step 4: Simplify right side
    62,577.50x = 3,232,081,567.65
  5. Step 5: Solve for x
    x = 3,232,081,567.65/62,577.50
  6. Step 6: Final answer
    x = 51,649.26

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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.