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Finding the Fourth Proportional to 111,447, 167,196.42 and 37,575

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Solution

The fourth proportional to 111,447, 167,196.42 and 37,575 is: 56,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,447 : 167,196.42 = 37,575 : x
  2. Step 2: Convert to fraction form
    111,447/167,196.42 = 37,575/x
  3. Step 3: Cross multiply
    111,447x = 167,196.42 × 37,575
  4. Step 4: Simplify right side
    111,447x = 6,282,405,481.50
  5. Step 5: Solve for x
    x = 6,282,405,481.50/111,447
  6. Step 6: Final answer
    x = 56,371.24

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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.