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Finding the Fourth Proportional to 62,262.80, 85,898.08 and 38,348

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Solution

The fourth proportional to 62,262.80, 85,898.08 and 38,348 is: 52,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,262.80 : 85,898.08 = 38,348 : x
  2. Step 2: Convert to fraction form
    62,262.80/85,898.08 = 38,348/x
  3. Step 3: Cross multiply
    62,262.80x = 85,898.08 × 38,348
  4. Step 4: Simplify right side
    62,262.80x = 3,294,019,571.84
  5. Step 5: Solve for x
    x = 3,294,019,571.84/62,262.80
  6. Step 6: Final answer
    x = 52,905.10

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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.