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Finding the Fourth Proportional to 116,585.46, 174,834.44 and 37,678.50

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Solution

The fourth proportional to 116,585.46, 174,834.44 and 37,678.50 is: 56,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,585.46 : 174,834.44 = 37,678.50 : x
  2. Step 2: Convert to fraction form
    116,585.46/174,834.44 = 37,678.50/x
  3. Step 3: Cross multiply
    116,585.46x = 174,834.44 × 37,678.50
  4. Step 4: Simplify right side
    116,585.46x = 6,587,499,447.54
  5. Step 5: Solve for x
    x = 6,587,499,447.54/116,585.46
  6. Step 6: Final answer
    x = 56,503.61

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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.