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Finding the Fourth Proportional to 42,906.16, 64,362.04 and 16,611.12

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Solution

The fourth proportional to 42,906.16, 64,362.04 and 16,611.12 is: 24,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906.16 : 64,362.04 = 16,611.12 : x
  2. Step 2: Convert to fraction form
    42,906.16/64,362.04 = 16,611.12/x
  3. Step 3: Cross multiply
    42,906.16x = 64,362.04 × 16,611.12
  4. Step 4: Simplify right side
    42,906.16x = 1,069,125,569.88
  5. Step 5: Solve for x
    x = 1,069,125,569.88/42,906.16
  6. Step 6: Final answer
    x = 24,917.76

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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.