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Finding the Fourth Proportional to 77,448, 116,173.44 and 22,045.44

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Solution

The fourth proportional to 77,448, 116,173.44 and 22,045.44 is: 33,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,448 : 116,173.44 = 22,045.44 : x
  2. Step 2: Convert to fraction form
    77,448/116,173.44 = 22,045.44/x
  3. Step 3: Cross multiply
    77,448x = 116,173.44 × 22,045.44
  4. Step 4: Simplify right side
    77,448x = 2,561,094,601.11
  5. Step 5: Solve for x
    x = 2,561,094,601.11/77,448
  6. Step 6: Final answer
    x = 33,068.57

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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.