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Finding the Fourth Proportional to 27,038.52, 40,546.80 and 9,504.24

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Solution

The fourth proportional to 27,038.52, 40,546.80 and 9,504.24 is: 14,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.52 : 40,546.80 = 9,504.24 : x
  2. Step 2: Convert to fraction form
    27,038.52/40,546.80 = 9,504.24/x
  3. Step 3: Cross multiply
    27,038.52x = 40,546.80 × 9,504.24
  4. Step 4: Simplify right side
    27,038.52x = 385,366,518.43
  5. Step 5: Solve for x
    x = 385,366,518.43/27,038.52
  6. Step 6: Final answer
    x = 14,252.50

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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.