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Finding the Fourth Proportional to 75,051.84, 112,544.48 and 22,451.20

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Solution

The fourth proportional to 75,051.84, 112,544.48 and 22,451.20 is: 33,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,051.84 : 112,544.48 = 22,451.20 : x
  2. Step 2: Convert to fraction form
    75,051.84/112,544.48 = 22,451.20/x
  3. Step 3: Cross multiply
    75,051.84x = 112,544.48 × 22,451.20
  4. Step 4: Simplify right side
    75,051.84x = 2,526,758,629.38
  5. Step 5: Solve for x
    x = 2,526,758,629.38/75,051.84
  6. Step 6: Final answer
    x = 33,666.84

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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.