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Finding the Fourth Proportional to 45,525.84, 62,825.92 and 25,384

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Solution

The fourth proportional to 45,525.84, 62,825.92 and 25,384 is: 35,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,525.84 : 62,825.92 = 25,384 : x
  2. Step 2: Convert to fraction form
    45,525.84/62,825.92 = 25,384/x
  3. Step 3: Cross multiply
    45,525.84x = 62,825.92 × 25,384
  4. Step 4: Simplify right side
    45,525.84x = 1,594,773,153.28
  5. Step 5: Solve for x
    x = 1,594,773,153.28/45,525.84
  6. Step 6: Final answer
    x = 35,030.07

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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.