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Finding the Fourth Proportional to 30,477.56, 42,084.99 and 19,165.99

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Solution

The fourth proportional to 30,477.56, 42,084.99 and 19,165.99 is: 26,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.56 : 42,084.99 = 19,165.99 : x
  2. Step 2: Convert to fraction form
    30,477.56/42,084.99 = 19,165.99/x
  3. Step 3: Cross multiply
    30,477.56x = 42,084.99 × 19,165.99
  4. Step 4: Simplify right side
    30,477.56x = 806,600,497.49
  5. Step 5: Solve for x
    x = 806,600,497.49/30,477.56
  6. Step 6: Final answer
    x = 26,465.39

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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.