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Finding the Fourth Proportional to 47,322.41, 70,913.49 and 19,208.25

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Solution

The fourth proportional to 47,322.41, 70,913.49 and 19,208.25 is: 28,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,322.41 : 70,913.49 = 19,208.25 : x
  2. Step 2: Convert to fraction form
    47,322.41/70,913.49 = 19,208.25/x
  3. Step 3: Cross multiply
    47,322.41x = 70,913.49 × 19,208.25
  4. Step 4: Simplify right side
    47,322.41x = 1,362,124,229.88
  5. Step 5: Solve for x
    x = 1,362,124,229.88/47,322.41
  6. Step 6: Final answer
    x = 28,783.92

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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.