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Finding the Fourth Proportional to 108,356.24, 162,534.36 and 45,983

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Solution

The fourth proportional to 108,356.24, 162,534.36 and 45,983 is: 68,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,356.24 : 162,534.36 = 45,983 : x
  2. Step 2: Convert to fraction form
    108,356.24/162,534.36 = 45,983/x
  3. Step 3: Cross multiply
    108,356.24x = 162,534.36 × 45,983
  4. Step 4: Simplify right side
    108,356.24x = 7,473,817,475.88
  5. Step 5: Solve for x
    x = 7,473,817,475.88/108,356.24
  6. Step 6: Final answer
    x = 68,974.50

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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.