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Finding the Fourth Proportional to 51,281.70, 70,790.34 and 31,145.10

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Solution

The fourth proportional to 51,281.70, 70,790.34 and 31,145.10 is: 42,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,281.70 : 70,790.34 = 31,145.10 : x
  2. Step 2: Convert to fraction form
    51,281.70/70,790.34 = 31,145.10/x
  3. Step 3: Cross multiply
    51,281.70x = 70,790.34 × 31,145.10
  4. Step 4: Simplify right side
    51,281.70x = 2,204,772,218.33
  5. Step 5: Solve for x
    x = 2,204,772,218.33/51,281.70
  6. Step 6: Final answer
    x = 42,993.35

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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.