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Finding the Fourth Proportional to 51,922.40, 77,952.62 and 35,111.88

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Solution

The fourth proportional to 51,922.40, 77,952.62 and 35,111.88 is: 52,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,922.40 : 77,952.62 = 35,111.88 : x
  2. Step 2: Convert to fraction form
    51,922.40/77,952.62 = 35,111.88/x
  3. Step 3: Cross multiply
    51,922.40x = 77,952.62 × 35,111.88
  4. Step 4: Simplify right side
    51,922.40x = 2,737,063,126.91
  5. Step 5: Solve for x
    x = 2,737,063,126.91/51,922.40
  6. Step 6: Final answer
    x = 52,714.50

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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.