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Finding the Fourth Proportional to 108,358.24, 162,537.36 and 45,985

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Solution

The fourth proportional to 108,358.24, 162,537.36 and 45,985 is: 68,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,358.24 : 162,537.36 = 45,985 : x
  2. Step 2: Convert to fraction form
    108,358.24/162,537.36 = 45,985/x
  3. Step 3: Cross multiply
    108,358.24x = 162,537.36 × 45,985
  4. Step 4: Simplify right side
    108,358.24x = 7,474,280,499.60
  5. Step 5: Solve for x
    x = 7,474,280,499.60/108,358.24
  6. Step 6: Final answer
    x = 68,977.50

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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.