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Finding the Fourth Proportional to 109,071.40, 163,617.90 and 37,983.10

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Solution

The fourth proportional to 109,071.40, 163,617.90 and 37,983.10 is: 56,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,071.40 : 163,617.90 = 37,983.10 : x
  2. Step 2: Convert to fraction form
    109,071.40/163,617.90 = 37,983.10/x
  3. Step 3: Cross multiply
    109,071.40x = 163,617.90 × 37,983.10
  4. Step 4: Simplify right side
    109,071.40x = 6,214,715,057.49
  5. Step 5: Solve for x
    x = 6,214,715,057.49/109,071.40
  6. Step 6: Final answer
    x = 56,978.41

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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.