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Finding the Fourth Proportional to 57,416, 86,124.36 and 15,863.36

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Solution

The fourth proportional to 57,416, 86,124.36 and 15,863.36 is: 23,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416 : 86,124.36 = 15,863.36 : x
  2. Step 2: Convert to fraction form
    57,416/86,124.36 = 15,863.36/x
  3. Step 3: Cross multiply
    57,416x = 86,124.36 × 15,863.36
  4. Step 4: Simplify right side
    57,416x = 1,366,221,727.45
  5. Step 5: Solve for x
    x = 1,366,221,727.45/57,416
  6. Step 6: Final answer
    x = 23,795.14

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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.