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Finding the Fourth Proportional to 33,672.64, 46,470 and 19,530.40

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Solution

The fourth proportional to 33,672.64, 46,470 and 19,530.40 is: 26,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672.64 : 46,470 = 19,530.40 : x
  2. Step 2: Convert to fraction form
    33,672.64/46,470 = 19,530.40/x
  3. Step 3: Cross multiply
    33,672.64x = 46,470 × 19,530.40
  4. Step 4: Simplify right side
    33,672.64x = 907,577,688.00
  5. Step 5: Solve for x
    x = 907,577,688.00/33,672.64
  6. Step 6: Final answer
    x = 26,952.97

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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.