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Finding the Fourth Proportional to 30,867.75, 42,599.31 and 17,438.67

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Solution

The fourth proportional to 30,867.75, 42,599.31 and 17,438.67 is: 24,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.75 : 42,599.31 = 17,438.67 : x
  2. Step 2: Convert to fraction form
    30,867.75/42,599.31 = 17,438.67/x
  3. Step 3: Cross multiply
    30,867.75x = 42,599.31 × 17,438.67
  4. Step 4: Simplify right side
    30,867.75x = 742,875,309.32
  5. Step 5: Solve for x
    x = 742,875,309.32/30,867.75
  6. Step 6: Final answer
    x = 24,066.39

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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.