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Finding the Fourth Proportional to 116,586.42, 174,904.38 and 37,694.64

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Solution

The fourth proportional to 116,586.42, 174,904.38 and 37,694.64 is: 56,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,586.42 : 174,904.38 = 37,694.64 : x
  2. Step 2: Convert to fraction form
    116,586.42/174,904.38 = 37,694.64/x
  3. Step 3: Cross multiply
    116,586.42x = 174,904.38 × 37,694.64
  4. Step 4: Simplify right side
    116,586.42x = 6,592,957,638.52
  5. Step 5: Solve for x
    x = 6,592,957,638.52/116,586.42
  6. Step 6: Final answer
    x = 56,549.96

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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.