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Finding the Fourth Proportional to 112,772.93, 169,162.11 and 37,894.14

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Solution

The fourth proportional to 112,772.93, 169,162.11 and 37,894.14 is: 56,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,772.93 : 169,162.11 = 37,894.14 : x
  2. Step 2: Convert to fraction form
    112,772.93/169,162.11 = 37,894.14/x
  3. Step 3: Cross multiply
    112,772.93x = 169,162.11 × 37,894.14
  4. Step 4: Simplify right side
    112,772.93x = 6,410,252,679.04
  5. Step 5: Solve for x
    x = 6,410,252,679.04/112,772.93
  6. Step 6: Final answer
    x = 56,842.12

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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.