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Finding the Fourth Proportional to 62,475, 93,725.46 and 25,539

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Solution

The fourth proportional to 62,475, 93,725.46 and 25,539 is: 38,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,475 : 93,725.46 = 25,539 : x
  2. Step 2: Convert to fraction form
    62,475/93,725.46 = 25,539/x
  3. Step 3: Cross multiply
    62,475x = 93,725.46 × 25,539
  4. Step 4: Simplify right side
    62,475x = 2,393,654,522.94
  5. Step 5: Solve for x
    x = 2,393,654,522.94/62,475
  6. Step 6: Final answer
    x = 38,313.80

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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.