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Finding the Fourth Proportional to 111,582.56, 167,374.76 and 41,461.88

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Solution

The fourth proportional to 111,582.56, 167,374.76 and 41,461.88 is: 62,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,582.56 : 167,374.76 = 41,461.88 : x
  2. Step 2: Convert to fraction form
    111,582.56/167,374.76 = 41,461.88/x
  3. Step 3: Cross multiply
    111,582.56x = 167,374.76 × 41,461.88
  4. Step 4: Simplify right side
    111,582.56x = 6,939,671,169.97
  5. Step 5: Solve for x
    x = 6,939,671,169.97/111,582.56
  6. Step 6: Final answer
    x = 62,193.15

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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.