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Finding the Fourth Proportional to 75,119, 112,696.28 and 24,517.76

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Solution

The fourth proportional to 75,119, 112,696.28 and 24,517.76 is: 36,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,119 : 112,696.28 = 24,517.76 : x
  2. Step 2: Convert to fraction form
    75,119/112,696.28 = 24,517.76/x
  3. Step 3: Cross multiply
    75,119x = 112,696.28 × 24,517.76
  4. Step 4: Simplify right side
    75,119x = 2,763,060,345.93
  5. Step 5: Solve for x
    x = 2,763,060,345.93/75,119
  6. Step 6: Final answer
    x = 36,782.44

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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.