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Finding the Fourth Proportional to 27,575.52, 38,054.32 and 15,000.32

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Solution

The fourth proportional to 27,575.52, 38,054.32 and 15,000.32 is: 20,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.52 : 38,054.32 = 15,000.32 : x
  2. Step 2: Convert to fraction form
    27,575.52/38,054.32 = 15,000.32/x
  3. Step 3: Cross multiply
    27,575.52x = 38,054.32 × 15,000.32
  4. Step 4: Simplify right side
    27,575.52x = 570,826,977.38
  5. Step 5: Solve for x
    x = 570,826,977.38/27,575.52
  6. Step 6: Final answer
    x = 20,700.50

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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.