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Finding the Fourth Proportional to 53,873.57, 74,309.91 and 33,695.42

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Solution

The fourth proportional to 53,873.57, 74,309.91 and 33,695.42 is: 46,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,873.57 : 74,309.91 = 33,695.42 : x
  2. Step 2: Convert to fraction form
    53,873.57/74,309.91 = 33,695.42/x
  3. Step 3: Cross multiply
    53,873.57x = 74,309.91 × 33,695.42
  4. Step 4: Simplify right side
    53,873.57x = 2,503,903,687.03
  5. Step 5: Solve for x
    x = 2,503,903,687.03/53,873.57
  6. Step 6: Final answer
    x = 46,477.40

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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.