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Finding the Fourth Proportional to 30,751.38, 42,437.07 and 17,322.90

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Solution

The fourth proportional to 30,751.38, 42,437.07 and 17,322.90 is: 23,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.38 : 42,437.07 = 17,322.90 : x
  2. Step 2: Convert to fraction form
    30,751.38/42,437.07 = 17,322.90/x
  3. Step 3: Cross multiply
    30,751.38x = 42,437.07 × 17,322.90
  4. Step 4: Simplify right side
    30,751.38x = 735,133,119.90
  5. Step 5: Solve for x
    x = 735,133,119.90/30,751.38
  6. Step 6: Final answer
    x = 23,905.70

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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.