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Finding the Fourth Proportional to 52,145.77, 78,224.15 and 17,088.16

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Solution

The fourth proportional to 52,145.77, 78,224.15 and 17,088.16 is: 25,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.77 : 78,224.15 = 17,088.16 : x
  2. Step 2: Convert to fraction form
    52,145.77/78,224.15 = 17,088.16/x
  3. Step 3: Cross multiply
    52,145.77x = 78,224.15 × 17,088.16
  4. Step 4: Simplify right side
    52,145.77x = 1,336,706,791.06
  5. Step 5: Solve for x
    x = 1,336,706,791.06/52,145.77
  6. Step 6: Final answer
    x = 25,634.04

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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.