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Finding the Fourth Proportional to 30,948.46, 46,415.20 and 14,292.48

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Solution

The fourth proportional to 30,948.46, 46,415.20 and 14,292.48 is: 21,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.46 : 46,415.20 = 14,292.48 : x
  2. Step 2: Convert to fraction form
    30,948.46/46,415.20 = 14,292.48/x
  3. Step 3: Cross multiply
    30,948.46x = 46,415.20 × 14,292.48
  4. Step 4: Simplify right side
    30,948.46x = 663,388,317.70
  5. Step 5: Solve for x
    x = 663,388,317.70/30,948.46
  6. Step 6: Final answer
    x = 21,435.26

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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.