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Finding the Fourth Proportional to 30,721.35, 46,082 and 17,564.49

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Solution

The fourth proportional to 30,721.35, 46,082 and 17,564.49 is: 26,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.35 : 46,082 = 17,564.49 : x
  2. Step 2: Convert to fraction form
    30,721.35/46,082 = 17,564.49/x
  3. Step 3: Cross multiply
    30,721.35x = 46,082 × 17,564.49
  4. Step 4: Simplify right side
    30,721.35x = 809,406,828.18
  5. Step 5: Solve for x
    x = 809,406,828.18/30,721.35
  6. Step 6: Final answer
    x = 26,346.72

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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.