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Finding the Fourth Proportional to 74,585.31, 102,921.99 and 47,359.38

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Solution

The fourth proportional to 74,585.31, 102,921.99 and 47,359.38 is: 65,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,585.31 : 102,921.99 = 47,359.38 : x
  2. Step 2: Convert to fraction form
    74,585.31/102,921.99 = 47,359.38/x
  3. Step 3: Cross multiply
    74,585.31x = 102,921.99 × 47,359.38
  4. Step 4: Simplify right side
    74,585.31x = 4,874,322,109.52
  5. Step 5: Solve for x
    x = 4,874,322,109.52/74,585.31
  6. Step 6: Final answer
    x = 65,352.31

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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.