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Finding the Fourth Proportional to 52,407, 78,583.77 and 17,334

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Solution

The fourth proportional to 52,407, 78,583.77 and 17,334 is: 25,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 78,583.77 = 17,334 : x
  2. Step 2: Convert to fraction form
    52,407/78,583.77 = 17,334/x
  3. Step 3: Cross multiply
    52,407x = 78,583.77 × 17,334
  4. Step 4: Simplify right side
    52,407x = 1,362,171,069.18
  5. Step 5: Solve for x
    x = 1,362,171,069.18/52,407
  6. Step 6: Final answer
    x = 25,992.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.