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Finding the Fourth Proportional to 52,233.76, 78,334 and 17,165.32

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Solution

The fourth proportional to 52,233.76, 78,334 and 17,165.32 is: 25,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,233.76 : 78,334 = 17,165.32 : x
  2. Step 2: Convert to fraction form
    52,233.76/78,334 = 17,165.32/x
  3. Step 3: Cross multiply
    52,233.76x = 78,334 × 17,165.32
  4. Step 4: Simplify right side
    52,233.76x = 1,344,628,176.88
  5. Step 5: Solve for x
    x = 1,344,628,176.88/52,233.76
  6. Step 6: Final answer
    x = 25,742.51

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1.5x scale

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.