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Finding the Fourth Proportional to 30,762.49, 46,158.33 and 18,307.12

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Solution

The fourth proportional to 30,762.49, 46,158.33 and 18,307.12 is: 27,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.49 : 46,158.33 = 18,307.12 : x
  2. Step 2: Convert to fraction form
    30,762.49/46,158.33 = 18,307.12/x
  3. Step 3: Cross multiply
    30,762.49x = 46,158.33 × 18,307.12
  4. Step 4: Simplify right side
    30,762.49x = 845,026,086.31
  5. Step 5: Solve for x
    x = 845,026,086.31/30,762.49
  6. Step 6: Final answer
    x = 27,469.37

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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.