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Finding the Fourth Proportional to 75,068, 112,602 and 28,309.94

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Solution

The fourth proportional to 75,068, 112,602 and 28,309.94 is: 42,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,068 : 112,602 = 28,309.94 : x
  2. Step 2: Convert to fraction form
    75,068/112,602 = 28,309.94/x
  3. Step 3: Cross multiply
    75,068x = 112,602 × 28,309.94
  4. Step 4: Simplify right side
    75,068x = 3,187,755,863.88
  5. Step 5: Solve for x
    x = 3,187,755,863.88/75,068
  6. Step 6: Final answer
    x = 42,464.91

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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.