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Finding the Fourth Proportional to 30,937.94, 46,407.82 and 7,564.38

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Solution

The fourth proportional to 30,937.94, 46,407.82 and 7,564.38 is: 11,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937.94 : 46,407.82 = 7,564.38 : x
  2. Step 2: Convert to fraction form
    30,937.94/46,407.82 = 7,564.38/x
  3. Step 3: Cross multiply
    30,937.94x = 46,407.82 × 7,564.38
  4. Step 4: Simplify right side
    30,937.94x = 351,046,385.45
  5. Step 5: Solve for x
    x = 351,046,385.45/30,937.94
  6. Step 6: Final answer
    x = 11,346.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.