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Finding the Fourth Proportional to 45,281, 62,493.54 and 25,409

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Solution

The fourth proportional to 45,281, 62,493.54 and 25,409 is: 35,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,281 : 62,493.54 = 25,409 : x
  2. Step 2: Convert to fraction form
    45,281/62,493.54 = 25,409/x
  3. Step 3: Cross multiply
    45,281x = 62,493.54 × 25,409
  4. Step 4: Simplify right side
    45,281x = 1,587,898,357.86
  5. Step 5: Solve for x
    x = 1,587,898,357.86/45,281
  6. Step 6: Final answer
    x = 35,067.65

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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.