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Finding the Fourth Proportional to 34,938.56, 52,416.05 and 11,565

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Solution

The fourth proportional to 34,938.56, 52,416.05 and 11,565 is: 17,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938.56 : 52,416.05 = 11,565 : x
  2. Step 2: Convert to fraction form
    34,938.56/52,416.05 = 11,565/x
  3. Step 3: Cross multiply
    34,938.56x = 52,416.05 × 11,565
  4. Step 4: Simplify right side
    34,938.56x = 606,191,560.43
  5. Step 5: Solve for x
    x = 606,191,560.43/34,938.56
  6. Step 6: Final answer
    x = 17,350.21

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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.