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Finding the Fourth Proportional to 30,774.17, 46,142.80 and 14,113.34

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Solution

The fourth proportional to 30,774.17, 46,142.80 and 14,113.34 is: 21,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.17 : 46,142.80 = 14,113.34 : x
  2. Step 2: Convert to fraction form
    30,774.17/46,142.80 = 14,113.34/x
  3. Step 3: Cross multiply
    30,774.17x = 46,142.80 × 14,113.34
  4. Step 4: Simplify right side
    30,774.17x = 651,229,024.95
  5. Step 5: Solve for x
    x = 651,229,024.95/30,774.17
  6. Step 6: Final answer
    x = 21,161.55

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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.