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Finding the Fourth Proportional to 56,702.63, 78,249.54 and 35,184.38

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Solution

The fourth proportional to 56,702.63, 78,249.54 and 35,184.38 is: 48,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.63 : 78,249.54 = 35,184.38 : x
  2. Step 2: Convert to fraction form
    56,702.63/78,249.54 = 35,184.38/x
  3. Step 3: Cross multiply
    56,702.63x = 78,249.54 × 35,184.38
  4. Step 4: Simplify right side
    56,702.63x = 2,753,161,290.88
  5. Step 5: Solve for x
    x = 2,753,161,290.88/56,702.63
  6. Step 6: Final answer
    x = 48,554.38

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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.