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Finding the Fourth Proportional to 111,513, 167,269.50 and 37,641

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Solution

The fourth proportional to 111,513, 167,269.50 and 37,641 is: 56,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,513 : 167,269.50 = 37,641 : x
  2. Step 2: Convert to fraction form
    111,513/167,269.50 = 37,641/x
  3. Step 3: Cross multiply
    111,513x = 167,269.50 × 37,641
  4. Step 4: Simplify right side
    111,513x = 6,296,191,249.50
  5. Step 5: Solve for x
    x = 6,296,191,249.50/111,513
  6. Step 6: Final answer
    x = 56,461.50

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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.