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Finding the Fourth Proportional to 112,809.46, 169,095.12 and 37,858.54

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Solution

The fourth proportional to 112,809.46, 169,095.12 and 37,858.54 is: 56,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,809.46 : 169,095.12 = 37,858.54 : x
  2. Step 2: Convert to fraction form
    112,809.46/169,095.12 = 37,858.54/x
  3. Step 3: Cross multiply
    112,809.46x = 169,095.12 × 37,858.54
  4. Step 4: Simplify right side
    112,809.46x = 6,401,694,364.32
  5. Step 5: Solve for x
    x = 6,401,694,364.32/112,809.46
  6. Step 6: Final answer
    x = 56,747.85

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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.