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Finding the Fourth Proportional to 51,392.50, 70,921.77 and 29,036.50

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Solution

The fourth proportional to 51,392.50, 70,921.77 and 29,036.50 is: 40,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,392.50 : 70,921.77 = 29,036.50 : x
  2. Step 2: Convert to fraction form
    51,392.50/70,921.77 = 29,036.50/x
  3. Step 3: Cross multiply
    51,392.50x = 70,921.77 × 29,036.50
  4. Step 4: Simplify right side
    51,392.50x = 2,059,319,974.61
  5. Step 5: Solve for x
    x = 2,059,319,974.61/51,392.50
  6. Step 6: Final answer
    x = 40,070.44

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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.