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Finding the Fourth Proportional to 51,408, 70,952.76 and 29,052

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Solution

The fourth proportional to 51,408, 70,952.76 and 29,052 is: 40,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408 : 70,952.76 = 29,052 : x
  2. Step 2: Convert to fraction form
    51,408/70,952.76 = 29,052/x
  3. Step 3: Cross multiply
    51,408x = 70,952.76 × 29,052
  4. Step 4: Simplify right side
    51,408x = 2,061,319,583.52
  5. Step 5: Solve for x
    x = 2,061,319,583.52/51,408
  6. Step 6: Final answer
    x = 40,097.25

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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.