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Finding the Fourth Proportional to 30,522.64, 45,771 and 13,877.68

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Solution

The fourth proportional to 30,522.64, 45,771 and 13,877.68 is: 20,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.64 : 45,771 = 13,877.68 : x
  2. Step 2: Convert to fraction form
    30,522.64/45,771 = 13,877.68/x
  3. Step 3: Cross multiply
    30,522.64x = 45,771 × 13,877.68
  4. Step 4: Simplify right side
    30,522.64x = 635,195,291.28
  5. Step 5: Solve for x
    x = 635,195,291.28/30,522.64
  6. Step 6: Final answer
    x = 20,810.63

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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.