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Finding the Fourth Proportional to 51,294.36, 70,777.70 and 34,271.30

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Solution

The fourth proportional to 51,294.36, 70,777.70 and 34,271.30 is: 47,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,294.36 : 70,777.70 = 34,271.30 : x
  2. Step 2: Convert to fraction form
    51,294.36/70,777.70 = 34,271.30/x
  3. Step 3: Cross multiply
    51,294.36x = 70,777.70 × 34,271.30
  4. Step 4: Simplify right side
    51,294.36x = 2,425,643,924.12
  5. Step 5: Solve for x
    x = 2,425,643,924.12/51,294.36
  6. Step 6: Final answer
    x = 47,288.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.