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Finding the Fourth Proportional to 35,416.20, 53,099.70 and 15,684

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Solution

The fourth proportional to 35,416.20, 53,099.70 and 15,684 is: 23,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,416.20 : 53,099.70 = 15,684 : x
  2. Step 2: Convert to fraction form
    35,416.20/53,099.70 = 15,684/x
  3. Step 3: Cross multiply
    35,416.20x = 53,099.70 × 15,684
  4. Step 4: Simplify right side
    35,416.20x = 832,815,694.80
  5. Step 5: Solve for x
    x = 832,815,694.80/35,416.20
  6. Step 6: Final answer
    x = 23,515.11

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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.