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Finding the Fourth Proportional to 30,471.17, 45,701.15 and 13,827.20

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Solution

The fourth proportional to 30,471.17, 45,701.15 and 13,827.20 is: 20,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.17 : 45,701.15 = 13,827.20 : x
  2. Step 2: Convert to fraction form
    30,471.17/45,701.15 = 13,827.20/x
  3. Step 3: Cross multiply
    30,471.17x = 45,701.15 × 13,827.20
  4. Step 4: Simplify right side
    30,471.17x = 631,918,941.28
  5. Step 5: Solve for x
    x = 631,918,941.28/30,471.17
  6. Step 6: Final answer
    x = 20,738.26

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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.