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Finding the Fourth Proportional to 108,530.80, 162,796.20 and 38,417.20

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Solution

The fourth proportional to 108,530.80, 162,796.20 and 38,417.20 is: 57,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,530.80 : 162,796.20 = 38,417.20 : x
  2. Step 2: Convert to fraction form
    108,530.80/162,796.20 = 38,417.20/x
  3. Step 3: Cross multiply
    108,530.80x = 162,796.20 × 38,417.20
  4. Step 4: Simplify right side
    108,530.80x = 6,254,174,174.64
  5. Step 5: Solve for x
    x = 6,254,174,174.64/108,530.80
  6. Step 6: Final answer
    x = 57,625.80

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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.