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Finding the Fourth Proportional to 27,702.51, 41,554.32 and 8,982.50

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Solution

The fourth proportional to 27,702.51, 41,554.32 and 8,982.50 is: 13,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.51 : 41,554.32 = 8,982.50 : x
  2. Step 2: Convert to fraction form
    27,702.51/41,554.32 = 8,982.50/x
  3. Step 3: Cross multiply
    27,702.51x = 41,554.32 × 8,982.50
  4. Step 4: Simplify right side
    27,702.51x = 373,261,437.94
  5. Step 5: Solve for x
    x = 373,261,437.94/27,702.51
  6. Step 6: Final answer
    x = 13,473.92

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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.