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Finding the Fourth Proportional to 30,594.56, 42,094.04 and 24,800.36

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Solution

The fourth proportional to 30,594.56, 42,094.04 and 24,800.36 is: 34,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.56 : 42,094.04 = 24,800.36 : x
  2. Step 2: Convert to fraction form
    30,594.56/42,094.04 = 24,800.36/x
  3. Step 3: Cross multiply
    30,594.56x = 42,094.04 × 24,800.36
  4. Step 4: Simplify right side
    30,594.56x = 1,043,947,011.38
  5. Step 5: Solve for x
    x = 1,043,947,011.38/30,594.56
  6. Step 6: Final answer
    x = 34,121.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.