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Finding the Fourth Proportional to 51,302.80, 76,954.20 and 23,654.80

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Solution

The fourth proportional to 51,302.80, 76,954.20 and 23,654.80 is: 35,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.80 : 76,954.20 = 23,654.80 : x
  2. Step 2: Convert to fraction form
    51,302.80/76,954.20 = 23,654.80/x
  3. Step 3: Cross multiply
    51,302.80x = 76,954.20 × 23,654.80
  4. Step 4: Simplify right side
    51,302.80x = 1,820,336,210.16
  5. Step 5: Solve for x
    x = 1,820,336,210.16/51,302.80
  6. Step 6: Final answer
    x = 35,482.20

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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.