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Finding the Fourth Proportional to 77,451.93, 116,175.47 and 22,047.93

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Solution

The fourth proportional to 77,451.93, 116,175.47 and 22,047.93 is: 33,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,451.93 : 116,175.47 = 22,047.93 : x
  2. Step 2: Convert to fraction form
    77,451.93/116,175.47 = 22,047.93/x
  3. Step 3: Cross multiply
    77,451.93x = 116,175.47 × 22,047.93
  4. Step 4: Simplify right side
    77,451.93x = 2,561,428,520.04
  5. Step 5: Solve for x
    x = 2,561,428,520.04/77,451.93
  6. Step 6: Final answer
    x = 33,071.20

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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.