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Finding the Fourth Proportional to 33,534, 46,276.92 and 18,630

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Solution

The fourth proportional to 33,534, 46,276.92 and 18,630 is: 25,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 46,276.92 = 18,630 : x
  2. Step 2: Convert to fraction form
    33,534/46,276.92 = 18,630/x
  3. Step 3: Cross multiply
    33,534x = 46,276.92 × 18,630
  4. Step 4: Simplify right side
    33,534x = 862,139,019.60
  5. Step 5: Solve for x
    x = 862,139,019.60/33,534
  6. Step 6: Final answer
    x = 25,709.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.