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Finding the Fourth Proportional to 108,160.26, 162,237.56 and 48,952.77

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Solution

The fourth proportional to 108,160.26, 162,237.56 and 48,952.77 is: 73,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,160.26 : 162,237.56 = 48,952.77 : x
  2. Step 2: Convert to fraction form
    108,160.26/162,237.56 = 48,952.77/x
  3. Step 3: Cross multiply
    108,160.26x = 162,237.56 × 48,952.77
  4. Step 4: Simplify right side
    108,160.26x = 7,941,977,715.28
  5. Step 5: Solve for x
    x = 7,941,977,715.28/108,160.26
  6. Step 6: Final answer
    x = 73,427.87

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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.