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Finding the Fourth Proportional to 57,465.48, 86,169 and 26,274

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Solution

The fourth proportional to 57,465.48, 86,169 and 26,274 is: 39,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.48 : 86,169 = 26,274 : x
  2. Step 2: Convert to fraction form
    57,465.48/86,169 = 26,274/x
  3. Step 3: Cross multiply
    57,465.48x = 86,169 × 26,274
  4. Step 4: Simplify right side
    57,465.48x = 2,264,004,306
  5. Step 5: Solve for x
    x = 2,264,004,306/57,465.48
  6. Step 6: Final answer
    x = 39,397.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.