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Finding the Fourth Proportional to 51,286.32, 76,870.62 and 23,526

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Solution

The fourth proportional to 51,286.32, 76,870.62 and 23,526 is: 35,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,286.32 : 76,870.62 = 23,526 : x
  2. Step 2: Convert to fraction form
    51,286.32/76,870.62 = 23,526/x
  3. Step 3: Cross multiply
    51,286.32x = 76,870.62 × 23,526
  4. Step 4: Simplify right side
    51,286.32x = 1,808,458,206.12
  5. Step 5: Solve for x
    x = 1,808,458,206.12/51,286.32
  6. Step 6: Final answer
    x = 35,262.00

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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.