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Finding the Fourth Proportional to 51,646.40, 77,449.92 and 22,077.92

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Solution

The fourth proportional to 51,646.40, 77,449.92 and 22,077.92 is: 33,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.40 : 77,449.92 = 22,077.92 : x
  2. Step 2: Convert to fraction form
    51,646.40/77,449.92 = 22,077.92/x
  3. Step 3: Cross multiply
    51,646.40x = 77,449.92 × 22,077.92
  4. Step 4: Simplify right side
    51,646.40x = 1,709,933,137.77
  5. Step 5: Solve for x
    x = 1,709,933,137.77/51,646.40
  6. Step 6: Final answer
    x = 33,108.47

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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.