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Finding the Fourth Proportional to 108,901.84, 163,249.08 and 34,978

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Solution

The fourth proportional to 108,901.84, 163,249.08 and 34,978 is: 52,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,901.84 : 163,249.08 = 34,978 : x
  2. Step 2: Convert to fraction form
    108,901.84/163,249.08 = 34,978/x
  3. Step 3: Cross multiply
    108,901.84x = 163,249.08 × 34,978
  4. Step 4: Simplify right side
    108,901.84x = 5,710,126,320.24
  5. Step 5: Solve for x
    x = 5,710,126,320.24/108,901.84
  6. Step 6: Final answer
    x = 52,433.70

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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.