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Finding the Fourth Proportional to 30,751.20, 46,133.20 and 17,592.80

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Solution

The fourth proportional to 30,751.20, 46,133.20 and 17,592.80 is: 26,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.20 : 46,133.20 = 17,592.80 : x
  2. Step 2: Convert to fraction form
    30,751.20/46,133.20 = 17,592.80/x
  3. Step 3: Cross multiply
    30,751.20x = 46,133.20 × 17,592.80
  4. Step 4: Simplify right side
    30,751.20x = 811,612,160.96
  5. Step 5: Solve for x
    x = 811,612,160.96/30,751.20
  6. Step 6: Final answer
    x = 26,392.86

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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.