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Finding the Fourth Proportional to 71,783.50, 107,652.28 and 23,743.18

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Solution

The fourth proportional to 71,783.50, 107,652.28 and 23,743.18 is: 35,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.50 : 107,652.28 = 23,743.18 : x
  2. Step 2: Convert to fraction form
    71,783.50/107,652.28 = 23,743.18/x
  3. Step 3: Cross multiply
    71,783.50x = 107,652.28 × 23,743.18
  4. Step 4: Simplify right side
    71,783.50x = 2,556,007,461.45
  5. Step 5: Solve for x
    x = 2,556,007,461.45/71,783.50
  6. Step 6: Final answer
    x = 35,607.17

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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.