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Finding the Fourth Proportional to 92,653.54, 138,978.94 and 29,477.49

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Solution

The fourth proportional to 92,653.54, 138,978.94 and 29,477.49 is: 44,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,653.54 : 138,978.94 = 29,477.49 : x
  2. Step 2: Convert to fraction form
    92,653.54/138,978.94 = 29,477.49/x
  3. Step 3: Cross multiply
    92,653.54x = 138,978.94 × 29,477.49
  4. Step 4: Simplify right side
    92,653.54x = 4,096,750,314.06
  5. Step 5: Solve for x
    x = 4,096,750,314.06/92,653.54
  6. Step 6: Final answer
    x = 44,215.80

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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.