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Finding the Fourth Proportional to 53,898.92, 74,370.64 and 30,025

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Solution

The fourth proportional to 53,898.92, 74,370.64 and 30,025 is: 41,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898.92 : 74,370.64 = 30,025 : x
  2. Step 2: Convert to fraction form
    53,898.92/74,370.64 = 30,025/x
  3. Step 3: Cross multiply
    53,898.92x = 74,370.64 × 30,025
  4. Step 4: Simplify right side
    53,898.92x = 2,232,978,466
  5. Step 5: Solve for x
    x = 2,232,978,466/53,898.92
  6. Step 6: Final answer
    x = 41,429.00

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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.