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Finding the Fourth Proportional to 71,724, 107,602.60 and 24,336.56

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Solution

The fourth proportional to 71,724, 107,602.60 and 24,336.56 is: 36,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724 : 107,602.60 = 24,336.56 : x
  2. Step 2: Convert to fraction form
    71,724/107,602.60 = 24,336.56/x
  3. Step 3: Cross multiply
    71,724x = 107,602.60 × 24,336.56
  4. Step 4: Simplify right side
    71,724x = 2,618,677,131.06
  5. Step 5: Solve for x
    x = 2,618,677,131.06/71,724
  6. Step 6: Final answer
    x = 36,510.47

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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.