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Finding the Fourth Proportional to 30,792.30, 46,184.47 and 9,734.46

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Solution

The fourth proportional to 30,792.30, 46,184.47 and 9,734.46 is: 14,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.30 : 46,184.47 = 9,734.46 : x
  2. Step 2: Convert to fraction form
    30,792.30/46,184.47 = 9,734.46/x
  3. Step 3: Cross multiply
    30,792.30x = 46,184.47 × 9,734.46
  4. Step 4: Simplify right side
    30,792.30x = 449,580,965.47
  5. Step 5: Solve for x
    x = 449,580,965.47/30,792.30
  6. Step 6: Final answer
    x = 14,600.43

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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.