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Finding the Fourth Proportional to 75,013.57, 112,575.74 and 35,570.82

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Solution

The fourth proportional to 75,013.57, 112,575.74 and 35,570.82 is: 53,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,013.57 : 112,575.74 = 35,570.82 : x
  2. Step 2: Convert to fraction form
    75,013.57/112,575.74 = 35,570.82/x
  3. Step 3: Cross multiply
    75,013.57x = 112,575.74 × 35,570.82
  4. Step 4: Simplify right side
    75,013.57x = 4,004,411,383.91
  5. Step 5: Solve for x
    x = 4,004,411,383.91/75,013.57
  6. Step 6: Final answer
    x = 53,382.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.