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Finding the Fourth Proportional to 23,992.50, 35,980.08 and 10,142.58

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Solution

The fourth proportional to 23,992.50, 35,980.08 and 10,142.58 is: 15,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992.50 : 35,980.08 = 10,142.58 : x
  2. Step 2: Convert to fraction form
    23,992.50/35,980.08 = 10,142.58/x
  3. Step 3: Cross multiply
    23,992.50x = 35,980.08 × 10,142.58
  4. Step 4: Simplify right side
    23,992.50x = 364,930,839.81
  5. Step 5: Solve for x
    x = 364,930,839.81/23,992.50
  6. Step 6: Final answer
    x = 15,210.20

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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.