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Finding the Fourth Proportional to 109,630, 164,450.40 and 35,758

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Solution

The fourth proportional to 109,630, 164,450.40 and 35,758 is: 53,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,630 : 164,450.40 = 35,758 : x
  2. Step 2: Convert to fraction form
    109,630/164,450.40 = 35,758/x
  3. Step 3: Cross multiply
    109,630x = 164,450.40 × 35,758
  4. Step 4: Simplify right side
    109,630x = 5,880,417,403.20
  5. Step 5: Solve for x
    x = 5,880,417,403.20/109,630
  6. Step 6: Final answer
    x = 53,638.76

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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.