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Finding the Fourth Proportional to 112,808.46, 169,093.62 and 37,857.54

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Solution

The fourth proportional to 112,808.46, 169,093.62 and 37,857.54 is: 56,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,808.46 : 169,093.62 = 37,857.54 : x
  2. Step 2: Convert to fraction form
    112,808.46/169,093.62 = 37,857.54/x
  3. Step 3: Cross multiply
    112,808.46x = 169,093.62 × 37,857.54
  4. Step 4: Simplify right side
    112,808.46x = 6,401,468,482.89
  5. Step 5: Solve for x
    x = 6,401,468,482.89/112,808.46
  6. Step 6: Final answer
    x = 56,746.35

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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.