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Finding the Fourth Proportional to 30,433.79, 42,025.32 and 19,122.90

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Solution

The fourth proportional to 30,433.79, 42,025.32 and 19,122.90 is: 26,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.79 : 42,025.32 = 19,122.90 : x
  2. Step 2: Convert to fraction form
    30,433.79/42,025.32 = 19,122.90/x
  3. Step 3: Cross multiply
    30,433.79x = 42,025.32 × 19,122.90
  4. Step 4: Simplify right side
    30,433.79x = 803,645,991.83
  5. Step 5: Solve for x
    x = 803,645,991.83/30,433.79
  6. Step 6: Final answer
    x = 26,406.38

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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.