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Finding the Fourth Proportional to 42,783.54, 64,168.02 and 11,611.50

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Solution

The fourth proportional to 42,783.54, 64,168.02 and 11,611.50 is: 17,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783.54 : 64,168.02 = 11,611.50 : x
  2. Step 2: Convert to fraction form
    42,783.54/64,168.02 = 11,611.50/x
  3. Step 3: Cross multiply
    42,783.54x = 64,168.02 × 11,611.50
  4. Step 4: Simplify right side
    42,783.54x = 745,086,964.23
  5. Step 5: Solve for x
    x = 745,086,964.23/42,783.54
  6. Step 6: Final answer
    x = 17,415.27

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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.