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Finding the Fourth Proportional to 27,032.58, 40,563.42 and 11,248.50

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Solution

The fourth proportional to 27,032.58, 40,563.42 and 11,248.50 is: 16,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,032.58 : 40,563.42 = 11,248.50 : x
  2. Step 2: Convert to fraction form
    27,032.58/40,563.42 = 11,248.50/x
  3. Step 3: Cross multiply
    27,032.58x = 40,563.42 × 11,248.50
  4. Step 4: Simplify right side
    27,032.58x = 456,277,629.87
  5. Step 5: Solve for x
    x = 456,277,629.87/27,032.58
  6. Step 6: Final answer
    x = 16,878.80

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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.