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Finding the Fourth Proportional to 51,322.40, 76,844.56 and 26,646.56

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Solution

The fourth proportional to 51,322.40, 76,844.56 and 26,646.56 is: 39,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,322.40 : 76,844.56 = 26,646.56 : x
  2. Step 2: Convert to fraction form
    51,322.40/76,844.56 = 26,646.56/x
  3. Step 3: Cross multiply
    51,322.40x = 76,844.56 × 26,646.56
  4. Step 4: Simplify right side
    51,322.40x = 2,047,643,178.71
  5. Step 5: Solve for x
    x = 2,047,643,178.71/51,322.40
  6. Step 6: Final answer
    x = 39,897.65

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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.