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Finding the Fourth Proportional to 30,772.40, 42,464.70 and 17,346.38

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Solution

The fourth proportional to 30,772.40, 42,464.70 and 17,346.38 is: 23,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.40 : 42,464.70 = 17,346.38 : x
  2. Step 2: Convert to fraction form
    30,772.40/42,464.70 = 17,346.38/x
  3. Step 3: Cross multiply
    30,772.40x = 42,464.70 × 17,346.38
  4. Step 4: Simplify right side
    30,772.40x = 736,608,610.46
  5. Step 5: Solve for x
    x = 736,608,610.46/30,772.40
  6. Step 6: Final answer
    x = 23,937.32

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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.