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Finding the Fourth Proportional to 105,072.30, 145,046.52 and 62,645.58

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Solution

The fourth proportional to 105,072.30, 145,046.52 and 62,645.58 is: 86,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072.30 : 145,046.52 = 62,645.58 : x
  2. Step 2: Convert to fraction form
    105,072.30/145,046.52 = 62,645.58/x
  3. Step 3: Cross multiply
    105,072.30x = 145,046.52 × 62,645.58
  4. Step 4: Simplify right side
    105,072.30x = 9,086,523,372.38
  5. Step 5: Solve for x
    x = 9,086,523,372.38/105,072.30
  6. Step 6: Final answer
    x = 86,478.77

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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.